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45 Publications
2017 | Journal Article | LibreCat-ID: 44334
Burban I, Galinat L. Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE. Journal of Physics A: Mathematical and Theoretical. 2017;50.
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2017 | Journal Article | LibreCat-ID: 44335
Burban I, Drozd Yu, Gavran V. Minors of non-commutative schemes. European Journal of Mathematics. 2017;3(2):311–341.
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2017 | Journal Article | LibreCat-ID: 44336
Burban I, Drozd Yu, Gavran V. Singular curves and quasi–hereditary algebras. International Mathematics Research Notices 2017. 2017;(3):895-920.
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2016 | Journal Article | LibreCat-ID: 44339
Burban I, Gnedin W. Cohen-Macaulay modules over some non-reduced curve singularities. Journal of Pure and Applied Algebra. 2016;220(12):3777–3815.
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2015 | Journal Article | LibreCat-ID: 44340
Burban I, Henrich T. Vector bundles on plane cubic curves and the classical Yang-Baxter equation. Journal of the European Math Society. 2015;17(3):591– 644. doi:10.4171/JEMS/512
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| DOI
2014 | Journal Article | LibreCat-ID: 44341
Burban I, Kreußler B. Analytic moduli spaces of simple sheaves on families of integral curves. Mathematische Nachrichten. 2014;287(2–3):173–183.
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2013 | Journal Article | LibreCat-ID: 44342
Burban I, Schiffmann O. Composition algebra of a weighted projective line. Journal für Reine und Angew Mathematik. 2013;679:75–124.
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2012 | Book | LibreCat-ID: 44346
Burban I, Kreußler B. Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations. Vol 220. 1035th ed.; 2012. doi:10.1090/S0065-9266-2012-00654-X
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| DOI
2012 | Journal Article | LibreCat-ID: 44344
Burban I, Schiffmann O. On the Hall algebra of an elliptic curve I. Duke Mathematical Journal. 2012;161(7):1171–1231. doi:10.1215/00127094-1593263
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| DOI
2012 | Journal Article | LibreCat-ID: 44345
Burban I, Henrich T. Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation. Journal of Geometry and Physics. 2012;62(2):312–329.
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2012 | Journal Article | LibreCat-ID: 44347
Burban I, Schiffmann O. Two descriptions of the quantum affine algebra Uv(sl2) via Hall algebra approach. Glasgow Journal of Math. 2012;54(2):283–307.
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2012 | Journal Article | LibreCat-ID: 44348
Burban I. Frobenius morphism and vector bundles on cycles of projective lines. Communications in Algebra. 2012;40(8):2983–2988.
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2012 | Journal Article | LibreCat-ID: 44343
Burban I, Kalck M. Singularity category of a non–commutative resolution of singularities. Advances in Mathematics. 2012;231(1):414–435.
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2011 | Journal Article | LibreCat-ID: 44349
Burban I, Drozd Yu. Tilting on non–commutative rational projective curves. Mathematische Annalen. 2011;351(3):665–709.
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2008 | Journal Article | LibreCat-ID: 44350
Burban I, Iyama O., Keller B, Reiten I. Cluster tilting for one–dimensional hypersurface singularities. Advances in Mathematics. 2008;217(6):2443–2484. doi:10.1016/j.aim.2007.10.007
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| DOI
2008 | Book Chapter | LibreCat-ID: 44530
Burban I, Drozd Yu. Maximal Cohen-Macaulay modules over surface singularities. In: Trends in Representations of Algebras and Related Topics. EMS Publishing House; 2008:101–160.
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2006 | Book Chapter | LibreCat-ID: 44531
Burban I, Bodnarchuk L, Drozd Yu, Greuel G-M. Vector bundles and torsion free sheaves on degenerations of elliptic curves. In: Global Aspects of Complex Geometry. Springer; 2006:83–129.
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2006 | Journal Article | LibreCat-ID: 44352
Burban I, Kreußler B. On a relative Fourier–Mukai transform on genus one fibrations. manuscripta mathematica. 2006;120(3):283–306.
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2006 | Journal Article | LibreCat-ID: 44351
Burban I, Kreußler B. Derived categories of irreducible projective curves of arithmetic genus one. Compositio Mathematica. 2006;142:1231–1262.
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2005 | Book Chapter | LibreCat-ID: 44532
Burban I, Drozd Yu. Derived categories for nodal rings and projective configurations, Noncommutative Algebra and Geometry. In: A Series of Lecture Notes in Pure and Applied Mathematics. Vol 243. ; 2005:23–46.
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