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45 Publications
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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