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45 Publications
2022 | Journal Article | LibreCat-ID: 44328
@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={10.1016/j.aim.2022.108273}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }
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| DOI
2022 | Preprint | LibreCat-ID: 44537
@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic Maa forms via quiver representations}, author={Burban, Igor and Alfes-Neumann, C. and Raum, M.}, year={2022} }
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2022 | Journal Article | LibreCat-ID: 44327
@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }
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2021 | Journal Article | LibreCat-ID: 44329
@article{Burban_Abedin_2021, title={Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation}, volume={387}, DOI={10.1007/s00220-021-04188-7}, number={2}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Abedin, R.}, year={2021}, pages={1051–1109} }
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| DOI
2020 | Journal Article | LibreCat-ID: 44331
@article{Burban_Zheglov_2020, title={Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems}, volume={121}, DOI={10.1112/plms.12341}, number={4}, journal={Proceedings of the London Mathematical Society}, author={Burban, Igor and Zheglov, A.}, year={2020}, pages={1033–1082} }
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| DOI
2018 | Journal Article | LibreCat-ID: 44333
@article{Burban_Galinat_2018, title={Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation}, volume={364}, DOI={10.1007/s00220-018-3172-2}, number={1}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Galinat, L.}, year={2018}, pages={123–169} }
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| DOI
2018 | Preprint | LibreCat-ID: 44538
@article{Burban_Drozd_2018, title={Non-commutative nodal curves and derived tame algebras}, author={Burban, Igor and Drozd, Yu.}, year={2018} }
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2018 | Journal Article | LibreCat-ID: 44332
@article{Burban_Zheglov_2018, title={Fourier-Mukai transform on Weierstraß cubics and commuting differential operators}, volume={29}, number={101850064–46 pp}, journal={International Journal of Mathematics}, author={Burban, Igor and Zheglov, A.}, year={2018} }
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2017 | Book | LibreCat-ID: 44337
@book{Burban_Drozd_2017, edition={1178}, series={Memoirs of the American Mathematical Society}, title={Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems}, volume={248}, DOI={10.1090/memo/1178}, author={Burban, Igor and Drozd, Yu.}, year={2017}, collection={Memoirs of the American Mathematical Society} }
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| DOI
2017 | Preprint | LibreCat-ID: 44539
@article{Burban_Drozd_2017, title={On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems}, author={Burban, Igor and Drozd, Yu.}, year={2017} }
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2017 | Journal Article | LibreCat-ID: 44334
@article{Burban_Galinat_2017, title={Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE}, volume={50}, number={454002}, journal={Journal of Physics A: Mathematical and Theoretical}, author={Burban, Igor and Galinat, L.}, year={2017} }
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2017 | Journal Article | LibreCat-ID: 44335
@article{Burban_Drozd_Gavran_2017, title={Minors of non-commutative schemes}, volume={3}, number={2}, journal={European Journal of Mathematics}, author={Burban, Igor and Drozd, Yu. and Gavran, V.}, year={2017}, pages={311–341} }
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2017 | Journal Article | LibreCat-ID: 44336
@article{Burban_Drozd_Gavran_2017, title={Singular curves and quasi–hereditary algebras}, number={3}, journal={International Mathematics Research Notices 2017}, author={Burban, Igor and Drozd, Yu. and Gavran, V.}, year={2017}, pages={895–920} }
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2016 | Journal Article | LibreCat-ID: 44339
@article{Burban_Gnedin_2016, title={Cohen-Macaulay modules over some non-reduced curve singularities}, volume={220}, number={12}, journal={Journal of Pure and Applied Algebra}, author={Burban, Igor and Gnedin, W.}, year={2016}, pages={3777–3815} }
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2015 | Journal Article | LibreCat-ID: 44340
@article{Burban_Henrich_2015, title={Vector bundles on plane cubic curves and the classical Yang-Baxter equation}, volume={17}, DOI={10.4171/JEMS/512}, number={3}, journal={Journal of the European Math. Society}, author={Burban, Igor and Henrich, T.}, year={2015}, pages={591– 644} }
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| DOI
2014 | Journal Article | LibreCat-ID: 44341
@article{Burban_Kreußler_2014, title={Analytic moduli spaces of simple sheaves on families of integral curves}, volume={287}, number={2–3}, journal={Mathematische Nachrichten}, author={Burban, Igor and Kreußler, B.}, year={2014}, pages={173–183} }
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2013 | Journal Article | LibreCat-ID: 44342
@article{Burban_Schiffmann_2013, title={Composition algebra of a weighted projective line}, volume={679}, journal={Journal für Reine und Angew. Mathematik}, author={Burban, Igor and Schiffmann, O.}, year={2013}, pages={75–124} }
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2012 | Book | LibreCat-ID: 44346
@book{Burban_Kreußler_2012, edition={1035}, series={Memoirs of the American Mathematical Society}, title={Vector bundles on degenerations of elliptic curves and Yang-Baxter equations}, volume={220}, DOI={10.1090/S0065-9266-2012-00654-X}, author={Burban, Igor and Kreußler, B.}, year={2012}, collection={Memoirs of the American Mathematical Society} }
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| DOI
2012 | Journal Article | LibreCat-ID: 44344
@article{Burban_Schiffmann_2012, title={On the Hall algebra of an elliptic curve I}, volume={161}, DOI={10.1215/00127094-1593263}, number={7}, journal={Duke Mathematical Journal}, author={Burban, Igor and Schiffmann, O.}, year={2012}, pages={1171–1231} }
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| DOI
2012 | Journal Article | LibreCat-ID: 44345
@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} }
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2012 | Journal Article | LibreCat-ID: 44347
@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} }
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2012 | Journal Article | LibreCat-ID: 44348
@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} }
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2012 | Journal Article | LibreCat-ID: 44343
@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} }
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2011 | Journal Article | LibreCat-ID: 44349
@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} }
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2008 | Journal Article | LibreCat-ID: 44350
@article{Burban_Iyama_Keller_Reiten_2008, title={Cluster tilting for one–dimensional hypersurface singularities}, volume={217}, DOI={10.1016/j.aim.2007.10.007}, number={6}, journal={Advances in Mathematics}, author={Burban, Igor and Iyama, O. and Keller, B. and Reiten, I.}, year={2008}, pages={2443–2484} }
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| DOI
2008 | Book Chapter | LibreCat-ID: 44530
@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} }
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2006 | Book Chapter | LibreCat-ID: 44531
@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} }
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2006 | Journal Article | LibreCat-ID: 44352
@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} }
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2006 | Journal Article | LibreCat-ID: 44351
@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} }
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2005 | Book Chapter | LibreCat-ID: 44532
@inbook{Burban_Drozd_2005, title={Derived categories for nodal rings and projective configurations, 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} }
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2005 | Journal Article | LibreCat-ID: 44354
@article{Burban_2005, title={Derived Categories and D-Branes}, volume={57}, number={1}, journal={Ukrain. Mat. Zh.}, author={Burban, Igor}, year={2005} }
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2005 | Journal Article | LibreCat-ID: 44353
@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} }
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2004 | Journal Article | LibreCat-ID: 44355
@article{Burban_Drozd_2004, title={Coherent sheaves on rational curves with simple double points and transversal intersections}, volume={121}, DOI={10.1215/S0012-7094-04-12121-9}, number={2}, journal={Duke Mathematical Journal}, author={Burban, Igor and Drozd, Yu.}, year={2004}, pages={189–229} }
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2004 | Conference Paper | LibreCat-ID: 44533
@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} }
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2004 | Book Chapter | LibreCat-ID: 44534
@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} }
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2004 | Journal Article | LibreCat-ID: 44356
@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} }
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2003 | Journal Article | LibreCat-ID: 44357
@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} }
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2002 | Conference Paper | LibreCat-ID: 44535
@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} }
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2002 | Journal Article | LibreCat-ID: 44358
@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} }
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2001 | Book Chapter | LibreCat-ID: 44536
@inbook{Burban_Drozd_Greuel_2001, title={Vector bundles on singular projective curves}, booktitle={Applications of algebraic geometry to coding theory, physics and computation}, publisher={Kluwer Academic Publishers}, author={Burban, Igor and Drozd, Yu. and Greuel, G.-M.}, editor={Ciliberto, Ciro}, year={2001}, pages={1–15} }
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1998 | Journal Article | LibreCat-ID: 44541
@article{Burban_Duma_1998, title={Projective transformations of a plane}, volume={4}, number={2}, journal={U sviti Mathematyky}, author={Burban, Igor and Duma, W.}, year={1998} }
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1998 | Journal Article | LibreCat-ID: 44540
@article{Burban_Duma_1998, title={Projective transformations of a plane and three-dimensional space}, volume={4}, number={4}, journal={U sviti Mathematyky}, author={Burban, Igor and Duma, W.}, year={1998} }
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1998 | Journal Article | LibreCat-ID: 44542
@article{Burban_1998, title={Rational parameterization of algebraic curves}, volume={4}, number={1}, journal={U sviti Mathematyky}, author={Burban, Igor}, year={1998} }
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1996 | Journal Article | LibreCat-ID: 44544
@article{Burban_1996, title={Euler’s theorem and map color problems}, volume={2}, number={2}, journal={U sviti Mathematyky}, author={Burban, Igor}, year={1996} }
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1996 | Journal Article | LibreCat-ID: 44543
@article{Burban_1996, title={Solutions of equations in integers}, volume={2}, number={4}, journal={U sviti Mathematyky}, author={Burban, Igor}, year={1996} }
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