---
_id: '44345'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: T.
  full_name: Henrich, T.
  last_name: Henrich
citation:
  ama: Burban I, Henrich T. Semi-stable vector bundles on elliptic curves and the
    associative Yang-Baxter equation. <i>Journal of Geometry and Physics</i>. 2012;62(2):312–329.
  apa: Burban, I., &#38; Henrich, T. (2012). Semi-stable vector bundles on elliptic
    curves and the associative Yang-Baxter equation. <i>Journal of Geometry and Physics</i>,
    <i>62</i>(2), 312–329.
  bibtex: '@article{Burban_Henrich_2012, title={Semi-stable vector bundles on elliptic
    curves and the associative Yang-Baxter equation}, volume={62}, number={2}, journal={Journal
    of Geometry and Physics}, author={Burban, Igor and Henrich, T.}, year={2012},
    pages={312–329} }'
  chicago: 'Burban, Igor, and T. Henrich. “Semi-Stable Vector Bundles on Elliptic
    Curves and the Associative Yang-Baxter Equation.” <i>Journal of Geometry and Physics</i>
    62, no. 2 (2012): 312–329.'
  ieee: I. Burban and T. Henrich, “Semi-stable vector bundles on elliptic curves and
    the associative Yang-Baxter equation,” <i>Journal of Geometry and Physics</i>,
    vol. 62, no. 2, pp. 312–329, 2012.
  mla: Burban, Igor, and T. Henrich. “Semi-Stable Vector Bundles on Elliptic Curves
    and the Associative Yang-Baxter Equation.” <i>Journal of Geometry and Physics</i>,
    vol. 62, no. 2, 2012, pp. 312–329.
  short: I. Burban, T. Henrich, Journal of Geometry and Physics 62 (2012) 312–329.
date_created: 2023-05-03T00:29:55Z
date_updated: 2023-05-07T01:40:27Z
department:
- _id: '602'
extern: '1'
intvolume: '        62'
issue: '2'
language:
- iso: eng
page: 312–329
publication: Journal of Geometry and Physics
publication_status: published
status: public
title: Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter
  equation
type: journal_article
user_id: '49063'
volume: 62
year: '2012'
...
---
_id: '44347'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: O.
  full_name: Schiffmann, O.
  last_name: Schiffmann
citation:
  ama: Burban I, Schiffmann O. Two descriptions of the quantum affine algebra Uv(sl2)
    via Hall algebra approach. <i>Glasgow Journal of Math</i>. 2012;54(2):283–307.
  apa: Burban, I., &#38; Schiffmann, O. (2012). Two descriptions of the quantum affine
    algebra Uv(sl2) via Hall algebra approach. <i>Glasgow Journal of Math.</i>, <i>54</i>(2),
    283–307.
  bibtex: '@article{Burban_Schiffmann_2012, title={Two descriptions of the quantum
    affine algebra Uv(sl2) via Hall algebra approach}, volume={54}, number={2}, journal={Glasgow
    Journal of Math.}, author={Burban, Igor and Schiffmann, O.}, year={2012}, pages={283–307}
    }'
  chicago: 'Burban, Igor, and O. Schiffmann. “Two Descriptions of the Quantum Affine
    Algebra Uv(Sl2) via Hall Algebra Approach.” <i>Glasgow Journal of Math.</i> 54,
    no. 2 (2012): 283–307.'
  ieee: I. Burban and O. Schiffmann, “Two descriptions of the quantum affine algebra
    Uv(sl2) via Hall algebra approach,” <i>Glasgow Journal of Math.</i>, vol. 54,
    no. 2, pp. 283–307, 2012.
  mla: Burban, Igor, and O. Schiffmann. “Two Descriptions of the Quantum Affine Algebra
    Uv(Sl2) via Hall Algebra Approach.” <i>Glasgow Journal of Math.</i>, vol. 54,
    no. 2, 2012, pp. 283–307.
  short: I. Burban, O. Schiffmann, Glasgow Journal of Math. 54 (2012) 283–307.
date_created: 2023-05-03T00:36:08Z
date_updated: 2023-05-07T01:40:12Z
department:
- _id: '602'
extern: '1'
intvolume: '        54'
issue: '2'
language:
- iso: eng
page: 283–307
publication: Glasgow Journal of Math.
publication_status: published
status: public
title: Two descriptions of the quantum affine algebra Uv(sl2) via Hall algebra approach
type: journal_article
user_id: '49063'
volume: 54
year: '2012'
...
---
_id: '44348'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
citation:
  ama: Burban I. Frobenius morphism and vector bundles on cycles of projective lines.
    <i>Communications in Algebra</i>. 2012;40(8):2983–2988.
  apa: Burban, I. (2012). Frobenius morphism and vector bundles on cycles of projective
    lines. <i>Communications in Algebra</i>, <i>40</i>(8), 2983–2988.
  bibtex: '@article{Burban_2012, title={Frobenius morphism and vector bundles on cycles
    of projective lines}, volume={40}, number={8}, journal={Communications in Algebra},
    author={Burban, Igor}, year={2012}, pages={2983–2988} }'
  chicago: 'Burban, Igor. “Frobenius Morphism and Vector Bundles on Cycles of Projective
    Lines.” <i>Communications in Algebra</i> 40, no. 8 (2012): 2983–2988.'
  ieee: I. Burban, “Frobenius morphism and vector bundles on cycles of projective
    lines,” <i>Communications in Algebra</i>, vol. 40, no. 8, pp. 2983–2988, 2012.
  mla: Burban, Igor. “Frobenius Morphism and Vector Bundles on Cycles of Projective
    Lines.” <i>Communications in Algebra</i>, vol. 40, no. 8, 2012, pp. 2983–2988.
  short: I. Burban, Communications in Algebra 40 (2012) 2983–2988.
date_created: 2023-05-03T00:38:09Z
date_updated: 2023-05-07T01:40:06Z
department:
- _id: '602'
extern: '1'
intvolume: '        40'
issue: '8'
language:
- iso: eng
page: 2983–2988
publication: Communications in Algebra
publication_status: published
status: public
title: Frobenius morphism and vector bundles on cycles of projective lines
type: journal_article
user_id: '49063'
volume: 40
year: '2012'
...
---
_id: '44343'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: M.
  full_name: Kalck, M.
  last_name: Kalck
citation:
  ama: Burban I, Kalck M. Singularity category of a non–commutative resolution of
    singularities. <i>Advances in Mathematics</i>. 2012;231(1):414–435.
  apa: Burban, I., &#38; Kalck, M. (2012). Singularity category of a non–commutative
    resolution of singularities. <i>Advances in Mathematics</i>, <i>231</i>(1), 414–435.
  bibtex: '@article{Burban_Kalck_2012, title={Singularity category of a non–commutative
    resolution of singularities}, volume={231}, number={1}, journal={Advances in Mathematics},
    author={Burban, Igor and Kalck, M.}, year={2012}, pages={414–435} }'
  chicago: 'Burban, Igor, and M. Kalck. “Singularity Category of a Non–Commutative
    Resolution of Singularities.” <i>Advances in Mathematics</i> 231, no. 1 (2012):
    414–435.'
  ieee: I. Burban and M. Kalck, “Singularity category of a non–commutative resolution
    of singularities,” <i>Advances in Mathematics</i>, vol. 231, no. 1, pp. 414–435,
    2012.
  mla: Burban, Igor, and M. Kalck. “Singularity Category of a Non–Commutative Resolution
    of Singularities.” <i>Advances in Mathematics</i>, vol. 231, no. 1, 2012, pp.
    414–435.
  short: I. Burban, M. Kalck, Advances in Mathematics 231 (2012) 414–435.
date_created: 2023-05-03T00:27:40Z
date_updated: 2023-05-07T01:40:44Z
department:
- _id: '602'
extern: '1'
intvolume: '       231'
issue: '1'
language:
- iso: eng
page: 414–435
publication: Advances in Mathematics
publication_status: published
status: public
title: Singularity category of a non–commutative resolution of singularities
type: journal_article
user_id: '49063'
volume: 231
year: '2012'
...
---
_id: '44349'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: Burban I, Drozd Yu. Tilting on non–commutative rational projective curves.
    <i>Mathematische Annalen</i>. 2011;351(3):665–709.
  apa: Burban, I., &#38; Drozd, Yu. (2011). Tilting on non–commutative rational projective
    curves. <i>Mathematische Annalen</i>, <i>351</i>(3), 665–709.
  bibtex: '@article{Burban_Drozd_2011, title={Tilting on non–commutative rational
    projective curves}, volume={351}, number={3}, journal={Mathematische Annalen},
    author={Burban, Igor and Drozd, Yu.}, year={2011}, pages={665–709} }'
  chicago: 'Burban, Igor, and Yu. Drozd. “Tilting on Non–Commutative Rational Projective
    Curves.” <i>Mathematische Annalen</i> 351, no. 3 (2011): 665–709.'
  ieee: I. Burban and Yu. Drozd, “Tilting on non–commutative rational projective curves,”
    <i>Mathematische Annalen</i>, vol. 351, no. 3, pp. 665–709, 2011.
  mla: Burban, Igor, and Yu. Drozd. “Tilting on Non–Commutative Rational Projective
    Curves.” <i>Mathematische Annalen</i>, vol. 351, no. 3, 2011, pp. 665–709.
  short: I. Burban, Yu. Drozd, Mathematische Annalen 351 (2011) 665–709.
date_created: 2023-05-03T00:38:52Z
date_updated: 2023-05-07T01:39:57Z
department:
- _id: '602'
extern: '1'
intvolume: '       351'
issue: '3'
language:
- iso: eng
page: 665–709
publication: Mathematische Annalen
publication_status: published
status: public
title: Tilting on non–commutative rational projective curves
type: journal_article
user_id: '49063'
volume: 351
year: '2011'
...
---
_id: '44350'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: ' O.'
  full_name: Iyama,  O.
  last_name: Iyama
- first_name: B.
  full_name: Keller, B.
  last_name: Keller
- first_name: I.
  full_name: Reiten, I.
  last_name: Reiten
citation:
  ama: Burban I, Iyama  O., Keller B, Reiten I. Cluster tilting for one–dimensional
    hypersurface singularities. <i>Advances in Mathematics</i>. 2008;217(6):2443–2484.
    doi:<a href="https://doi.org/10.1016/j.aim.2007.10.007">10.1016/j.aim.2007.10.007</a>
  apa: Burban, I., Iyama,  O., Keller, B., &#38; Reiten, I. (2008). Cluster tilting
    for one–dimensional hypersurface singularities. <i>Advances in Mathematics</i>,
    <i>217</i>(6), 2443–2484. <a href="https://doi.org/10.1016/j.aim.2007.10.007">https://doi.org/10.1016/j.aim.2007.10.007</a>
  bibtex: '@article{Burban_Iyama_Keller_Reiten_2008, title={Cluster tilting for one–dimensional
    hypersurface singularities}, volume={217}, DOI={<a href="https://doi.org/10.1016/j.aim.2007.10.007">10.1016/j.aim.2007.10.007</a>},
    number={6}, journal={Advances in Mathematics}, author={Burban, Igor and Iyama,  O.
    and Keller, B. and Reiten, I.}, year={2008}, pages={2443–2484} }'
  chicago: 'Burban, Igor,  O. Iyama, B. Keller, and I. Reiten. “Cluster Tilting for
    One–Dimensional Hypersurface Singularities.” <i>Advances in Mathematics</i> 217,
    no. 6 (2008): 2443–2484. <a href="https://doi.org/10.1016/j.aim.2007.10.007">https://doi.org/10.1016/j.aim.2007.10.007</a>.'
  ieee: 'I. Burban,  O. Iyama, B. Keller, and I. Reiten, “Cluster tilting for one–dimensional
    hypersurface singularities,” <i>Advances in Mathematics</i>, vol. 217, no. 6,
    pp. 2443–2484, 2008, doi: <a href="https://doi.org/10.1016/j.aim.2007.10.007">10.1016/j.aim.2007.10.007</a>.'
  mla: Burban, Igor, et al. “Cluster Tilting for One–Dimensional Hypersurface Singularities.”
    <i>Advances in Mathematics</i>, vol. 217, no. 6, 2008, pp. 2443–2484, doi:<a href="https://doi.org/10.1016/j.aim.2007.10.007">10.1016/j.aim.2007.10.007</a>.
  short: I. Burban,  O. Iyama, B. Keller, I. Reiten, Advances in Mathematics 217 (2008)
    2443–2484.
date_created: 2023-05-03T00:40:22Z
date_updated: 2023-05-07T01:32:15Z
department:
- _id: '602'
doi: 10.1016/j.aim.2007.10.007
extern: '1'
intvolume: '       217'
issue: '6'
language:
- iso: eng
page: 2443–2484
publication: Advances in Mathematics
publication_status: published
status: public
title: Cluster tilting for one–dimensional hypersurface singularities
type: journal_article
user_id: '49063'
volume: 217
year: '2008'
...
---
_id: '44530'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: 'Burban I, Drozd Yu. Maximal Cohen-Macaulay modules over surface singularities.
    In: <i>Trends in Representations of Algebras and Related Topics</i>. EMS Publishing
    House; 2008:101–160.'
  apa: Burban, I., &#38; Drozd, Yu. (2008). Maximal Cohen-Macaulay modules over surface
    singularities. In <i>Trends in Representations of Algebras and Related Topics</i>
    (pp. 101–160). EMS Publishing House.
  bibtex: '@inbook{Burban_Drozd_2008, title={Maximal Cohen-Macaulay modules over surface
    singularities}, booktitle={Trends in Representations of Algebras and Related Topics},
    publisher={EMS Publishing House}, author={Burban, Igor and Drozd, Yu.}, year={2008},
    pages={101–160} }'
  chicago: Burban, Igor, and Yu. Drozd. “Maximal Cohen-Macaulay Modules over Surface
    Singularities.” In <i>Trends in Representations of Algebras and Related Topics</i>,
    101–160. EMS Publishing House, 2008.
  ieee: I. Burban and Yu. Drozd, “Maximal Cohen-Macaulay modules over surface singularities,”
    in <i>Trends in Representations of Algebras and Related Topics</i>, EMS Publishing
    House, 2008, pp. 101–160.
  mla: Burban, Igor, and Yu. Drozd. “Maximal Cohen-Macaulay Modules over Surface Singularities.”
    <i>Trends in Representations of Algebras and Related Topics</i>, EMS Publishing
    House, 2008, pp. 101–160.
  short: 'I. Burban, Yu. Drozd, in: Trends in Representations of Algebras and Related
    Topics, EMS Publishing House, 2008, pp. 101–160.'
date_created: 2023-05-05T22:26:43Z
date_updated: 2023-05-07T01:38:31Z
department:
- _id: '602'
extern: '1'
language:
- iso: eng
page: 101–160
publication: Trends in Representations of Algebras and Related Topics
publication_status: published
publisher: EMS Publishing House
status: public
title: Maximal Cohen-Macaulay modules over surface singularities
type: book_chapter
user_id: '49063'
year: '2008'
...
---
_id: '44531'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: L.
  full_name: Bodnarchuk, L.
  last_name: Bodnarchuk
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
- first_name: G.-M.
  full_name: Greuel, G.-M.
  last_name: Greuel
citation:
  ama: 'Burban I, Bodnarchuk L, Drozd Yu, Greuel G-M. Vector bundles and torsion free
    sheaves on degenerations of elliptic curves. In: <i>Global Aspects of Complex
    Geometry</i>. Springer; 2006:83–129.'
  apa: Burban, I., Bodnarchuk, L., Drozd, Yu., &#38; Greuel, G.-M. (2006). Vector
    bundles and torsion free sheaves on degenerations of elliptic curves. In <i>Global
    Aspects of Complex Geometry</i> (pp. 83–129). Springer.
  bibtex: '@inbook{Burban_Bodnarchuk_Drozd_Greuel_2006, title={Vector bundles and
    torsion free sheaves on degenerations of elliptic curves}, booktitle={Global Aspects
    of Complex Geometry}, publisher={Springer}, author={Burban, Igor and Bodnarchuk,
    L. and Drozd, Yu. and Greuel, G.-M.}, year={2006}, pages={83–129} }'
  chicago: Burban, Igor, L. Bodnarchuk, Yu. Drozd, and G.-M. Greuel. “Vector Bundles
    and Torsion Free Sheaves on Degenerations of Elliptic Curves.” In <i>Global Aspects
    of Complex Geometry</i>, 83–129. Springer, 2006.
  ieee: I. Burban, L. Bodnarchuk, Yu. Drozd, and G.-M. Greuel, “Vector bundles and
    torsion free sheaves on degenerations of elliptic curves,” in <i>Global Aspects
    of Complex Geometry</i>, Springer, 2006, pp. 83–129.
  mla: Burban, Igor, et al. “Vector Bundles and Torsion Free Sheaves on Degenerations
    of Elliptic Curves.” <i>Global Aspects of Complex Geometry</i>, Springer, 2006,
    pp. 83–129.
  short: 'I. Burban, L. Bodnarchuk, Yu. Drozd, G.-M. Greuel, in: Global Aspects of
    Complex Geometry, Springer, 2006, pp. 83–129.'
date_created: 2023-05-05T22:27:45Z
date_updated: 2023-05-07T01:38:44Z
department:
- _id: '602'
extern: '1'
language:
- iso: eng
page: 83–129
publication: Global Aspects of Complex Geometry
publication_status: published
publisher: Springer
status: public
title: Vector bundles and torsion free sheaves on degenerations of elliptic curves
type: book_chapter
user_id: '49063'
year: '2006'
...
---
_id: '44352'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: B.
  full_name: Kreußler, B.
  last_name: Kreußler
citation:
  ama: Burban I, Kreußler B. On a relative Fourier–Mukai transform on genus one fibrations.
    <i>manuscripta mathematica</i>. 2006;120(3):283–306.
  apa: Burban, I., &#38; Kreußler, B. (2006). On a relative Fourier–Mukai transform
    on genus one fibrations. <i>Manuscripta Mathematica</i>, <i>120</i>(3), 283–306.
  bibtex: '@article{Burban_Kreußler_2006, title={On a relative Fourier–Mukai transform
    on genus one fibrations}, volume={120}, number={3}, journal={manuscripta mathematica},
    author={Burban, Igor and Kreußler, B.}, year={2006}, pages={283–306} }'
  chicago: 'Burban, Igor, and B. Kreußler. “On a Relative Fourier–Mukai Transform
    on Genus One Fibrations.” <i>Manuscripta Mathematica</i> 120, no. 3 (2006): 283–306.'
  ieee: I. Burban and B. Kreußler, “On a relative Fourier–Mukai transform on genus
    one fibrations,” <i>manuscripta mathematica</i>, vol. 120, no. 3, pp. 283–306,
    2006.
  mla: Burban, Igor, and B. Kreußler. “On a Relative Fourier–Mukai Transform on Genus
    One Fibrations.” <i>Manuscripta Mathematica</i>, vol. 120, no. 3, 2006, pp. 283–306.
  short: I. Burban, B. Kreußler, Manuscripta Mathematica 120 (2006) 283–306.
date_created: 2023-05-03T00:43:40Z
date_updated: 2023-05-07T01:39:33Z
department:
- _id: '602'
extern: '1'
intvolume: '       120'
issue: '3'
language:
- iso: eng
page: 283–306
publication: manuscripta mathematica
publication_status: published
status: public
title: On a relative Fourier–Mukai transform on genus one fibrations
type: journal_article
user_id: '49063'
volume: 120
year: '2006'
...
---
_id: '44351'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: B.
  full_name: Kreußler, B.
  last_name: Kreußler
citation:
  ama: Burban I, Kreußler B. Derived categories of irreducible projective curves of
    arithmetic genus one. <i>Compositio Mathematica</i>. 2006;142:1231–1262.
  apa: Burban, I., &#38; Kreußler, B. (2006). Derived categories of irreducible projective
    curves of arithmetic genus one. <i>Compositio Mathematica</i>, <i>142</i>, 1231–1262.
  bibtex: '@article{Burban_Kreußler_2006, title={Derived categories of irreducible
    projective curves of arithmetic genus one}, volume={142}, journal={Compositio
    Mathematica}, author={Burban, Igor and Kreußler, B.}, year={2006}, pages={1231–1262}
    }'
  chicago: 'Burban, Igor, and B. Kreußler. “Derived Categories of Irreducible Projective
    Curves of Arithmetic Genus One.” <i>Compositio Mathematica</i> 142 (2006): 1231–1262.'
  ieee: I. Burban and B. Kreußler, “Derived categories of irreducible projective curves
    of arithmetic genus one,” <i>Compositio Mathematica</i>, vol. 142, pp. 1231–1262,
    2006.
  mla: Burban, Igor, and B. Kreußler. “Derived Categories of Irreducible Projective
    Curves of Arithmetic Genus One.” <i>Compositio Mathematica</i>, vol. 142, 2006,
    pp. 1231–1262.
  short: I. Burban, B. Kreußler, Compositio Mathematica 142 (2006) 1231–1262.
date_created: 2023-05-03T00:41:16Z
date_updated: 2023-05-07T01:39:24Z
department:
- _id: '602'
extern: '1'
intvolume: '       142'
language:
- iso: eng
page: 1231–1262
publication: Compositio Mathematica
publication_status: published
status: public
title: Derived categories of irreducible projective curves of arithmetic genus one
type: journal_article
user_id: '49063'
volume: 142
year: '2006'
...
---
_id: '44532'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: "Burban I, Drozd Yu. Derived categories for nodal rings and projective con\x02figurations,
    Noncommutative Algebra and Geometry. In: <i>A Series of Lecture Notes in Pure
    and Applied Mathematics</i>. Vol 243. ; 2005:23–46."
  apa: "Burban, I., &#38; Drozd, Yu. (2005). Derived categories for nodal rings and
    projective con\x02figurations, Noncommutative Algebra and Geometry. In <i>A series
    of Lecture Notes in Pure and Applied Mathematics</i> (Vol. 243, pp. 23–46)."
  bibtex: "@inbook{Burban_Drozd_2005, title={Derived categories for nodal rings and
    projective con\x02figurations, Noncommutative Algebra and Geometry}, volume={243},
    booktitle={A series of Lecture Notes in Pure and Applied Mathematics}, author={Burban,
    Igor and Drozd, Yu.}, year={2005}, pages={23–46} }"
  chicago: "Burban, Igor, and Yu. Drozd. “Derived Categories for Nodal Rings and Projective
    Con\x02figurations, Noncommutative Algebra and Geometry.” In <i>A Series of Lecture
    Notes in Pure and Applied Mathematics</i>, 243:23–46, 2005."
  ieee: "I. Burban and Yu. Drozd, “Derived categories for nodal rings and projective
    con\x02figurations, Noncommutative Algebra and Geometry,” in <i>A series of Lecture
    Notes in Pure and Applied Mathematics</i>, vol. 243, 2005, pp. 23–46."
  mla: "Burban, Igor, and Yu. Drozd. “Derived Categories for Nodal Rings and Projective
    Con\x02figurations, Noncommutative Algebra and Geometry.” <i>A Series of Lecture
    Notes in Pure and Applied Mathematics</i>, vol. 243, 2005, pp. 23–46."
  short: 'I. Burban, Yu. Drozd, in: A Series of Lecture Notes in Pure and Applied
    Mathematics, 2005, pp. 23–46.'
date_created: 2023-05-05T22:28:44Z
date_updated: 2023-05-07T01:38:54Z
department:
- _id: '602'
extern: '1'
intvolume: '       243'
language:
- iso: eng
page: 23–46
publication: A series of Lecture Notes in Pure and Applied Mathematics
publication_status: published
status: public
title: "Derived categories for nodal rings and projective con\x02figurations, Noncommutative
  Algebra and Geometry"
type: book_chapter
user_id: '49063'
volume: 243
year: '2005'
...
---
_id: '44354'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
citation:
  ama: Burban I. Derived Categories and D-Branes. <i>Ukrain Mat Zh</i>. 2005;57(1).
  apa: Burban, I. (2005). Derived Categories and D-Branes. <i>Ukrain. Mat. Zh.</i>,
    <i>57</i>(1).
  bibtex: '@article{Burban_2005, title={Derived Categories and D-Branes}, volume={57},
    number={1}, journal={Ukrain. Mat. Zh.}, author={Burban, Igor}, year={2005} }'
  chicago: Burban, Igor. “Derived Categories and D-Branes.” <i>Ukrain. Mat. Zh.</i>
    57, no. 1 (2005).
  ieee: I. Burban, “Derived Categories and D-Branes,” <i>Ukrain. Mat. Zh.</i>, vol.
    57, no. 1, 2005.
  mla: Burban, Igor. “Derived Categories and D-Branes.” <i>Ukrain. Mat. Zh.</i>, vol.
    57, no. 1, 2005.
  short: I. Burban, Ukrain. Mat. Zh. 57 (2005).
date_created: 2023-05-03T00:46:53Z
date_updated: 2023-05-07T01:37:38Z
department:
- _id: '602'
extern: '1'
intvolume: '        57'
issue: '1'
language:
- iso: eng
publication: Ukrain. Mat. Zh.
publication_status: published
status: public
title: Derived Categories and D-Branes
type: journal_article
user_id: '49063'
volume: 57
year: '2005'
...
---
_id: '44353'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: B.
  full_name: Kreußler, B.
  last_name: Kreußler
citation:
  ama: Burban I, Kreußler B. Fourier-Mukai transforms and semi-stable sheaves on nodal
    Weierstraß cubics. <i>J Reine Angew Math</i>. 2005;584:45–82.
  apa: Burban, I., &#38; Kreußler, B. (2005). Fourier-Mukai transforms and semi-stable
    sheaves on nodal Weierstraß cubics. <i>J. Reine Angew. Math.</i>, <i>584</i>,
    45–82.
  bibtex: '@article{Burban_Kreußler_2005, title={Fourier-Mukai transforms and semi-stable
    sheaves on nodal Weierstraß cubics}, volume={584}, journal={J. Reine Angew. Math.},
    author={Burban, Igor and Kreußler, B.}, year={2005}, pages={45–82} }'
  chicago: 'Burban, Igor, and B. Kreußler. “Fourier-Mukai Transforms and Semi-Stable
    Sheaves on Nodal Weierstraß Cubics.” <i>J. Reine Angew. Math.</i> 584 (2005):
    45–82.'
  ieee: I. Burban and B. Kreußler, “Fourier-Mukai transforms and semi-stable sheaves
    on nodal Weierstraß cubics,” <i>J. Reine Angew. Math.</i>, vol. 584, pp. 45–82,
    2005.
  mla: Burban, Igor, and B. Kreußler. “Fourier-Mukai Transforms and Semi-Stable Sheaves
    on Nodal Weierstraß Cubics.” <i>J. Reine Angew. Math.</i>, vol. 584, 2005, pp.
    45–82.
  short: I. Burban, B. Kreußler, J. Reine Angew. Math. 584 (2005) 45–82.
date_created: 2023-05-03T00:44:42Z
date_updated: 2023-05-07T01:39:47Z
department:
- _id: '602'
extern: '1'
intvolume: '       584'
language:
- iso: eng
page: 45–82
publication: J. Reine Angew. Math.
publication_status: published
status: public
title: Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics
type: journal_article
user_id: '49063'
volume: 584
year: '2005'
...
---
_id: '44355'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: Burban I, Drozd Yu. Coherent sheaves on rational curves with simple double
    points and transversal intersections. <i>Duke Mathematical Journal</i>. 2004;121(2):189–229.
    doi:<a href="https://doi.org/10.1215/S0012-7094-04-12121-9">10.1215/S0012-7094-04-12121-9</a>
  apa: Burban, I., &#38; Drozd, Yu. (2004). Coherent sheaves on rational curves with
    simple double points and transversal intersections. <i>Duke Mathematical Journal</i>,
    <i>121</i>(2), 189–229. <a href="https://doi.org/10.1215/S0012-7094-04-12121-9">https://doi.org/10.1215/S0012-7094-04-12121-9</a>
  bibtex: '@article{Burban_Drozd_2004, title={Coherent sheaves on rational curves
    with simple double points and transversal intersections}, volume={121}, DOI={<a
    href="https://doi.org/10.1215/S0012-7094-04-12121-9">10.1215/S0012-7094-04-12121-9</a>},
    number={2}, journal={Duke Mathematical Journal}, author={Burban, Igor and Drozd,
    Yu.}, year={2004}, pages={189–229} }'
  chicago: 'Burban, Igor, and Yu. Drozd. “Coherent Sheaves on Rational Curves with
    Simple Double Points and Transversal Intersections.” <i>Duke Mathematical Journal</i>
    121, no. 2 (2004): 189–229. <a href="https://doi.org/10.1215/S0012-7094-04-12121-9">https://doi.org/10.1215/S0012-7094-04-12121-9</a>.'
  ieee: 'I. Burban and Yu. Drozd, “Coherent sheaves on rational curves with simple
    double points and transversal intersections,” <i>Duke Mathematical Journal</i>,
    vol. 121, no. 2, pp. 189–229, 2004, doi: <a href="https://doi.org/10.1215/S0012-7094-04-12121-9">10.1215/S0012-7094-04-12121-9</a>.'
  mla: Burban, Igor, and Yu. Drozd. “Coherent Sheaves on Rational Curves with Simple
    Double Points and Transversal Intersections.” <i>Duke Mathematical Journal</i>,
    vol. 121, no. 2, 2004, pp. 189–229, doi:<a href="https://doi.org/10.1215/S0012-7094-04-12121-9">10.1215/S0012-7094-04-12121-9</a>.
  short: I. Burban, Yu. Drozd, Duke Mathematical Journal 121 (2004) 189–229.
date_created: 2023-05-03T00:48:27Z
date_updated: 2023-05-07T01:31:59Z
department:
- _id: '602'
doi: 10.1215/S0012-7094-04-12121-9
extern: '1'
intvolume: '       121'
issue: '2'
language:
- iso: eng
page: 189–229
publication: Duke Mathematical Journal
publication_status: published
status: public
title: Coherent sheaves on rational curves with simple double points and transversal
  intersections
type: journal_article
user_id: '49063'
volume: 121
year: '2004'
...
---
_id: '44533'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: 'Burban I, Drozd Yu. Indecomposables of the derived categories of certain associative
    algebras. In: <i>Proceedings of the ICRA-X Conference, Toronto 2002</i>. Vol 45.
    Fields Institute Communications. ; 2004:109–127.'
  apa: Burban, I., &#38; Drozd, Yu. (2004). Indecomposables of the derived categories
    of certain associative algebras. <i>Proceedings of the ICRA-X Conference, Toronto
    2002</i>, <i>45</i>, 109–127.
  bibtex: '@inproceedings{Burban_Drozd_2004, series={Fields Institute Communications},
    title={Indecomposables of the derived categories of certain associative algebras},
    volume={45}, booktitle={Proceedings of the ICRA-X Conference, Toronto 2002}, author={Burban,
    Igor and Drozd, Yu.}, year={2004}, pages={109–127}, collection={Fields Institute
    Communications} }'
  chicago: Burban, Igor, and Yu. Drozd. “Indecomposables of the Derived Categories
    of Certain Associative Algebras.” In <i>Proceedings of the ICRA-X Conference,
    Toronto 2002</i>, 45:109–127. Fields Institute Communications, 2004.
  ieee: I. Burban and Yu. Drozd, “Indecomposables of the derived categories of certain
    associative algebras,” in <i>Proceedings of the ICRA-X Conference, Toronto 2002</i>,
    Toronto, 2004, vol. 45, pp. 109–127.
  mla: Burban, Igor, and Yu. Drozd. “Indecomposables of the Derived Categories of
    Certain Associative Algebras.” <i>Proceedings of the ICRA-X Conference, Toronto
    2002</i>, vol. 45, 2004, pp. 109–127.
  short: 'I. Burban, Yu. Drozd, in: Proceedings of the ICRA-X Conference, Toronto
    2002, 2004, pp. 109–127.'
conference:
  location: Toronto
  start_date: '2002'
date_created: 2023-05-05T22:31:07Z
date_updated: 2023-05-07T01:35:56Z
department:
- _id: '602'
extern: '1'
intvolume: '        45'
language:
- iso: eng
page: 109–127
publication: Proceedings of the ICRA-X Conference, Toronto 2002
publication_status: published
series_title: Fields Institute Communications
status: public
title: Indecomposables of the derived categories of certain associative algebras
type: conference
user_id: '49063'
volume: 45
year: '2004'
...
---
_id: '44534'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
citation:
  ama: 'Burban I. Derived categories of coherent sheaves on rational singular curves.
    In: <i>Representations of Finite Dimensional Algebras and Related Topics in Lie
    Theory and Geometry</i>. Vol 40. Fields Institute Communications. American Mathematical
    Society; 2004:173–188.'
  apa: Burban, I. (2004). Derived categories of coherent sheaves on rational singular
    curves. In <i>Representations of finite dimensional algebras and related topics
    in Lie theory and geometry</i> (Vol. 40, pp. 173–188). American Mathematical Society.
  bibtex: '@inbook{Burban_2004, series={Fields Institute Communications}, title={Derived
    categories of coherent sheaves on rational singular curves}, volume={40}, booktitle={Representations
    of finite dimensional algebras and related topics in Lie theory and geometry},
    publisher={American Mathematical Society}, author={Burban, Igor}, year={2004},
    pages={173–188}, collection={Fields Institute Communications} }'
  chicago: Burban, Igor. “Derived Categories of Coherent Sheaves on Rational Singular
    Curves.” In <i>Representations of Finite Dimensional Algebras and Related Topics
    in Lie Theory and Geometry</i>, 40:173–188. Fields Institute Communications. American
    Mathematical Society, 2004.
  ieee: I. Burban, “Derived categories of coherent sheaves on rational singular curves,”
    in <i>Representations of finite dimensional algebras and related topics in Lie
    theory and geometry</i>, vol. 40, American Mathematical Society, 2004, pp. 173–188.
  mla: Burban, Igor. “Derived Categories of Coherent Sheaves on Rational Singular
    Curves.” <i>Representations of Finite Dimensional Algebras and Related Topics
    in Lie Theory and Geometry</i>, vol. 40, American Mathematical Society, 2004,
    pp. 173–188.
  short: 'I. Burban, in: Representations of Finite Dimensional Algebras and Related
    Topics in Lie Theory and Geometry, American Mathematical Society, 2004, pp. 173–188.'
date_created: 2023-05-07T00:34:13Z
date_updated: 2023-05-07T01:38:19Z
department:
- _id: '602'
extern: '1'
intvolume: '        40'
language:
- iso: eng
page: 173–188
publication: Representations of finite dimensional algebras and related topics in
  Lie theory and geometry
publication_status: published
publisher: American Mathematical Society
series_title: Fields Institute Communications
status: public
title: Derived categories of coherent sheaves on rational singular curves
type: book_chapter
user_id: '49063'
volume: 40
year: '2004'
...
---
_id: '44356'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: Burban I, Drozd Yu. Derived tameness of nodal algebras. <i>J Algebra</i>. 2004;272(1):46–94.
  apa: Burban, I., &#38; Drozd, Yu. (2004). Derived tameness of nodal algebras. <i>J.
    Algebra</i>, <i>272</i>(1), 46–94.
  bibtex: '@article{Burban_Drozd_2004, title={Derived tameness of nodal algebras},
    volume={272}, number={1}, journal={J. Algebra}, author={Burban, Igor and Drozd,
    Yu.}, year={2004}, pages={46–94} }'
  chicago: 'Burban, Igor, and Yu. Drozd. “Derived Tameness of Nodal Algebras.” <i>J.
    Algebra</i> 272, no. 1 (2004): 46–94.'
  ieee: I. Burban and Yu. Drozd, “Derived tameness of nodal algebras,” <i>J. Algebra</i>,
    vol. 272, no. 1, pp. 46–94, 2004.
  mla: Burban, Igor, and Yu. Drozd. “Derived Tameness of Nodal Algebras.” <i>J. Algebra</i>,
    vol. 272, no. 1, 2004, pp. 46–94.
  short: I. Burban, Yu. Drozd, J. Algebra 272 (2004) 46–94.
date_created: 2023-05-03T00:49:20Z
date_updated: 2023-05-07T01:39:16Z
department:
- _id: '602'
extern: '1'
intvolume: '       272'
issue: '1'
language:
- iso: eng
page: 46–94
publication: J. Algebra
publication_status: published
status: public
title: Derived tameness of nodal algebras
type: journal_article
user_id: '49063'
volume: 272
year: '2004'
...
---
_id: '44357'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
citation:
  ama: Burban I. Stable vector bundles on a rational curve with one node. <i>Ukrain
    Mat Zh</i>. 2003;55(7):867–874.
  apa: Burban, I. (2003). Stable vector bundles on a rational curve with one node.
    <i>Ukrain. Mat. Zh.</i>, <i>55</i>(7), 867–874.
  bibtex: '@article{Burban_2003, title={Stable vector bundles on a rational curve
    with one node}, volume={55}, number={7}, journal={Ukrain. Mat. Zh.}, author={Burban,
    Igor}, year={2003}, pages={867–874} }'
  chicago: 'Burban, Igor. “Stable Vector Bundles on a Rational Curve with One Node.”
    <i>Ukrain. Mat. Zh.</i> 55, no. 7 (2003): 867–874.'
  ieee: I. Burban, “Stable vector bundles on a rational curve with one node,” <i>Ukrain.
    Mat. Zh.</i>, vol. 55, no. 7, pp. 867–874, 2003.
  mla: Burban, Igor. “Stable Vector Bundles on a Rational Curve with One Node.” <i>Ukrain.
    Mat. Zh.</i>, vol. 55, no. 7, 2003, pp. 867–874.
  short: I. Burban, Ukrain. Mat. Zh. 55 (2003) 867–874.
date_created: 2023-05-03T00:50:00Z
date_updated: 2023-05-07T01:37:46Z
department:
- _id: '602'
extern: '1'
intvolume: '        55'
issue: '7'
language:
- iso: eng
page: 867–874
publication: Ukrain. Mat. Zh.
publication_status: published
status: public
title: Stable vector bundles on a rational curve with one node
type: journal_article
user_id: '49063'
volume: 55
year: '2003'
...
---
_id: '44535'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: 'Burban I, Drozd Yu. Derived categories and matrix problems. In: <i> Ukrainian
    Mathematical Congress 2001. Algebraic Structures and Their Applications. Proceedings
    of the Third International Algebraic Conference Held in Framework of the Ukrainian
    Mathematical Congress</i>. Instytut Matematyky NAN Ukrainy; 2002:201-211.'
  apa: Burban, I., &#38; Drozd, Yu. (2002). Derived categories and matrix problems.
    <i> Ukrainian Mathematical Congress 2001. Algebraic Structures and Their Applications.
    Proceedings of the Third International Algebraic Conference Held in Framework
    of the Ukrainian Mathematical Congress</i>, 201–211.
  bibtex: '@inproceedings{Burban_Drozd_2002, place={Kyiv}, title={Derived categories
    and matrix problems}, booktitle={ Ukrainian mathematical congress 2001. Algebraic
    structures and their applications. Proceedings of the third international algebraic
    conference held in framework of the Ukrainian mathematical congress}, publisher={Instytut
    Matematyky NAN Ukrainy}, author={Burban, Igor and Drozd, Yu.}, year={2002}, pages={201–211}
    }'
  chicago: 'Burban, Igor, and Yu. Drozd. “Derived Categories and Matrix Problems.”
    In <i> Ukrainian Mathematical Congress 2001. Algebraic Structures and Their Applications.
    Proceedings of the Third International Algebraic Conference Held in Framework
    of the Ukrainian Mathematical Congress</i>, 201–11. Kyiv: Instytut Matematyky
    NAN Ukrainy, 2002.'
  ieee: I. Burban and Yu. Drozd, “Derived categories and matrix problems,” in <i>
    Ukrainian mathematical congress 2001. Algebraic structures and their applications.
    Proceedings of the third international algebraic conference held in framework
    of the Ukrainian mathematical congress</i>, Kiev, Ukraine, 2002, pp. 201–211.
  mla: Burban, Igor, and Yu. Drozd. “Derived Categories and Matrix Problems.” <i>
    Ukrainian Mathematical Congress 2001. Algebraic Structures and Their Applications.
    Proceedings of the Third International Algebraic Conference Held in Framework
    of the Ukrainian Mathematical Congress</i>, Instytut Matematyky NAN Ukrainy, 2002,
    pp. 201–11.
  short: 'I. Burban, Yu. Drozd, in:  Ukrainian Mathematical Congress 2001. Algebraic
    Structures and Their Applications. Proceedings of the Third International Algebraic
    Conference Held in Framework of the Ukrainian Mathematical Congress, Instytut
    Matematyky NAN Ukrainy, Kyiv, 2002, pp. 201–211.'
conference:
  end_date: 2001-07-28
  location: Kiev, Ukraine
  name: Proceedings of the third international algebraic conference held in framework
    of the Ukrainian mathematical congress
  start_date: 2001-07-28
date_created: 2023-05-07T00:46:02Z
date_updated: 2023-05-07T01:37:56Z
department:
- _id: '602'
extern: '1'
language:
- iso: eng
page: 201-211
place: Kyiv
publication: ' Ukrainian mathematical congress 2001. Algebraic structures and their
  applications. Proceedings of the third international algebraic conference held in
  framework of the Ukrainian mathematical congress'
publication_status: published
publisher: Instytut Matematyky NAN Ukrainy
status: public
title: Derived categories and matrix problems
type: conference
user_id: '49063'
year: '2002'
...
---
_id: '44358'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: H. -G.
  full_name: Freiermuth, H. -G.
  last_name: Freiermuth
citation:
  ama: Burban I, Freiermuth H-G. Geometrical properties of sections of Buchsbaum-
    Rim sheaves. <i>Le Matematiche</i>. 2002;LVII:265–283.
  apa: Burban, I., &#38; Freiermuth, H.-G. (2002). Geometrical properties of sections
    of Buchsbaum- Rim sheaves. <i>Le Matematiche</i>, <i>LVII</i>, 265–283.
  bibtex: '@article{Burban_Freiermuth_2002, title={Geometrical properties of sections
    of Buchsbaum- Rim sheaves}, volume={LVII}, journal={Le Matematiche}, author={Burban,
    Igor and Freiermuth, H. -G.}, year={2002}, pages={265–283} }'
  chicago: 'Burban, Igor, and H. -G. Freiermuth. “Geometrical Properties of Sections
    of Buchsbaum- Rim Sheaves.” <i>Le Matematiche</i> LVII (2002): 265–283.'
  ieee: I. Burban and H.-G. Freiermuth, “Geometrical properties of sections of Buchsbaum-
    Rim sheaves,” <i>Le Matematiche</i>, vol. LVII, pp. 265–283, 2002.
  mla: Burban, Igor, and H. G. Freiermuth. “Geometrical Properties of Sections of
    Buchsbaum- Rim Sheaves.” <i>Le Matematiche</i>, vol. LVII, 2002, pp. 265–283.
  short: I. Burban, H.-G. Freiermuth, Le Matematiche LVII (2002) 265–283.
date_created: 2023-05-03T00:51:10Z
date_updated: 2023-05-07T01:39:06Z
department:
- _id: '602'
extern: '1'
language:
- iso: eng
page: 265–283
publication: Le Matematiche
publication_status: published
status: public
title: Geometrical properties of sections of Buchsbaum- Rim sheaves
type: journal_article
user_id: '49063'
volume: LVII
year: '2002'
...