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45 Publications
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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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| DOI
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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} }
LibreCat
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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