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45 Publications
2012 | Journal Article | LibreCat-ID: 44347
Burban, I., & Schiffmann, O. (2012). Two descriptions of the quantum affine algebra Uv(sl2) via Hall algebra approach. Glasgow Journal of Math., 54(2), 283–307.
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2012 | Journal Article | LibreCat-ID: 44348
Burban, I. (2012). Frobenius morphism and vector bundles on cycles of projective lines. Communications in Algebra, 40(8), 2983–2988.
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2012 | Journal Article | LibreCat-ID: 44343
Burban, I., & Kalck, M. (2012). Singularity category of a non–commutative resolution of singularities. Advances in Mathematics, 231(1), 414–435.
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2011 | Journal Article | LibreCat-ID: 44349
Burban, I., & Drozd, Yu. (2011). Tilting on non–commutative rational projective curves. Mathematische Annalen, 351(3), 665–709.
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2008 | Journal Article | LibreCat-ID: 44350
Burban, I., Iyama, O., Keller, B., & Reiten, I. (2008). Cluster tilting for one–dimensional hypersurface singularities. Advances in Mathematics, 217(6), 2443–2484. https://doi.org/10.1016/j.aim.2007.10.007
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| DOI
2008 | Book Chapter | LibreCat-ID: 44530
Burban, I., & Drozd, Yu. (2008). Maximal Cohen-Macaulay modules over surface singularities. In Trends in Representations of Algebras and Related Topics (pp. 101–160). EMS Publishing House.
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2006 | Book Chapter | LibreCat-ID: 44531
Burban, I., Bodnarchuk, L., Drozd, Yu., & Greuel, G.-M. (2006). Vector bundles and torsion free sheaves on degenerations of elliptic curves. In Global Aspects of Complex Geometry (pp. 83–129). Springer.
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2006 | Journal Article | LibreCat-ID: 44352
Burban, I., & Kreußler, B. (2006). On a relative Fourier–Mukai transform on genus one fibrations. Manuscripta Mathematica, 120(3), 283–306.
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2006 | Journal Article | LibreCat-ID: 44351
Burban, I., & Kreußler, B. (2006). Derived categories of irreducible projective curves of arithmetic genus one. Compositio Mathematica, 142, 1231–1262.
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2005 | Book Chapter | LibreCat-ID: 44532
Burban, I., & Drozd, Yu. (2005). 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, pp. 23–46).
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2005 | Journal Article | LibreCat-ID: 44354
Burban, I. (2005). Derived Categories and D-Branes. Ukrain. Mat. Zh., 57(1).
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2005 | Journal Article | LibreCat-ID: 44353
Burban, I., & Kreußler, B. (2005). Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics. J. Reine Angew. Math., 584, 45–82.
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2004 | Journal Article | LibreCat-ID: 44355
Burban, I., & Drozd, Yu. (2004). Coherent sheaves on rational curves with simple double points and transversal intersections. Duke Mathematical Journal, 121(2), 189–229. https://doi.org/10.1215/S0012-7094-04-12121-9
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| DOI
2004 | Conference Paper | LibreCat-ID: 44533
Burban, I., & Drozd, Yu. (2004). Indecomposables of the derived categories of certain associative algebras. Proceedings of the ICRA-X Conference, Toronto 2002, 45, 109–127.
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2004 | Book Chapter | LibreCat-ID: 44534
Burban, I. (2004). 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, pp. 173–188). American Mathematical Society.
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2004 | Journal Article | LibreCat-ID: 44356
Burban, I., & Drozd, Yu. (2004). Derived tameness of nodal algebras. J. Algebra, 272(1), 46–94.
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2003 | Journal Article | LibreCat-ID: 44357
Burban, I. (2003). Stable vector bundles on a rational curve with one node. Ukrain. Mat. Zh., 55(7), 867–874.
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2002 | Conference Paper | LibreCat-ID: 44535
Burban, I., & Drozd, Yu. (2002). Derived categories and matrix problems. Ukrainian Mathematical Congress 2001. Algebraic Structures and Their Applications. Proceedings of the Third International Algebraic Conference Held in Framework of the Ukrainian Mathematical Congress, 201–211.
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2002 | Journal Article | LibreCat-ID: 44358
Burban, I., & Freiermuth, H.-G. (2002). Geometrical properties of sections of Buchsbaum- Rim sheaves. Le Matematiche, LVII, 265–283.
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2001 | Book Chapter | LibreCat-ID: 44536
Burban, I., Drozd, Yu., & Greuel, G.-M. (2001). Vector bundles on singular projective curves. In C. Ciliberto (Ed.), Applications of algebraic geometry to coding theory, physics and computation (pp. 1–15). Kluwer Academic Publishers.
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