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45 Publications
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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2005 | Journal Article | LibreCat-ID: 44354
Burban I. Derived Categories and D-Branes. Ukrain Mat Zh. 2005;57(1).
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2005 | Journal Article | LibreCat-ID: 44353
Burban I, Kreußler B. Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics. J Reine Angew Math. 2005;584:45–82.
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2004 | Journal Article | LibreCat-ID: 44355
Burban I, Drozd Yu. Coherent sheaves on rational curves with simple double points and transversal intersections. Duke Mathematical Journal. 2004;121(2):189–229. doi:10.1215/S0012-7094-04-12121-9
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| DOI
2004 | Conference Paper | LibreCat-ID: 44533
Burban I, Drozd Yu. Indecomposables of the derived categories of certain associative algebras. In: Proceedings of the ICRA-X Conference, Toronto 2002. Vol 45. Fields Institute Communications. ; 2004:109–127.
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2004 | Book Chapter | LibreCat-ID: 44534
Burban I. Derived categories of coherent sheaves on rational singular curves. In: Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry. Vol 40. Fields Institute Communications. American Mathematical Society; 2004:173–188.
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2004 | Journal Article | LibreCat-ID: 44356
Burban I, Drozd Yu. Derived tameness of nodal algebras. J Algebra. 2004;272(1):46–94.
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2003 | Journal Article | LibreCat-ID: 44357
Burban I. Stable vector bundles on a rational curve with one node. Ukrain Mat Zh. 2003;55(7):867–874.
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2002 | Conference Paper | LibreCat-ID: 44535
Burban I, Drozd Yu. Derived categories and matrix problems. 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; 2002:201-211.
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2002 | Journal Article | LibreCat-ID: 44358
Burban I, Freiermuth H-G. Geometrical properties of sections of Buchsbaum- Rim sheaves. Le Matematiche. 2002;LVII:265–283.
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2001 | Book Chapter | LibreCat-ID: 44536
Burban I, Drozd Yu, Greuel G-M. Vector bundles on singular projective curves. In: Ciliberto C, ed. Applications of Algebraic Geometry to Coding Theory, Physics and Computation. Kluwer Academic Publishers; 2001:1–15.
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