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45 Publications
2012 | Journal Article | LibreCat-ID: 44347
I. Burban and O. Schiffmann, “Two descriptions of the quantum affine algebra Uv(sl2) via Hall algebra approach,” Glasgow Journal of Math., vol. 54, no. 2, pp. 283–307, 2012.
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2012 | Journal Article | LibreCat-ID: 44348
I. Burban, “Frobenius morphism and vector bundles on cycles of projective lines,” Communications in Algebra, vol. 40, no. 8, pp. 2983–2988, 2012.
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2012 | Journal Article | LibreCat-ID: 44343
I. Burban and M. Kalck, “Singularity category of a non–commutative resolution of singularities,” Advances in Mathematics, vol. 231, no. 1, pp. 414–435, 2012.
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2011 | Journal Article | LibreCat-ID: 44349
I. Burban and Yu. Drozd, “Tilting on non–commutative rational projective curves,” Mathematische Annalen, vol. 351, no. 3, pp. 665–709, 2011.
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2008 | Journal Article | LibreCat-ID: 44350
I. Burban, O. Iyama, B. Keller, and I. Reiten, “Cluster tilting for one–dimensional hypersurface singularities,” Advances in Mathematics, vol. 217, no. 6, pp. 2443–2484, 2008, doi: 10.1016/j.aim.2007.10.007.
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| DOI
2008 | Book Chapter | LibreCat-ID: 44530
I. Burban and Yu. Drozd, “Maximal Cohen-Macaulay modules over surface singularities,” in Trends in Representations of Algebras and Related Topics, EMS Publishing House, 2008, pp. 101–160.
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2006 | Book Chapter | LibreCat-ID: 44531
I. Burban, L. Bodnarchuk, Yu. Drozd, and G.-M. Greuel, “Vector bundles and torsion free sheaves on degenerations of elliptic curves,” in Global Aspects of Complex Geometry, Springer, 2006, pp. 83–129.
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2006 | Journal Article | LibreCat-ID: 44352
I. Burban and B. Kreußler, “On a relative Fourier–Mukai transform on genus one fibrations,” manuscripta mathematica, vol. 120, no. 3, pp. 283–306, 2006.
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2006 | Journal Article | LibreCat-ID: 44351
I. Burban and B. Kreußler, “Derived categories of irreducible projective curves of arithmetic genus one,” Compositio Mathematica, vol. 142, pp. 1231–1262, 2006.
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2005 | Book Chapter | LibreCat-ID: 44532
I. Burban and Yu. Drozd, “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, pp. 23–46.
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2005 | Journal Article | LibreCat-ID: 44354
I. Burban, “Derived Categories and D-Branes,” Ukrain. Mat. Zh., vol. 57, no. 1, 2005.
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2005 | Journal Article | LibreCat-ID: 44353
I. Burban and B. Kreußler, “Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics,” J. Reine Angew. Math., vol. 584, pp. 45–82, 2005.
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2004 | Journal Article | LibreCat-ID: 44355
I. Burban and Yu. Drozd, “Coherent sheaves on rational curves with simple double points and transversal intersections,” Duke Mathematical Journal, vol. 121, no. 2, pp. 189–229, 2004, doi: 10.1215/S0012-7094-04-12121-9.
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| DOI
2004 | Conference Paper | LibreCat-ID: 44533
I. Burban and Yu. Drozd, “Indecomposables of the derived categories of certain associative algebras,” in Proceedings of the ICRA-X Conference, Toronto 2002, Toronto, 2004, vol. 45, pp. 109–127.
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2004 | Book Chapter | LibreCat-ID: 44534
I. Burban, “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, American Mathematical Society, 2004, pp. 173–188.
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2004 | Journal Article | LibreCat-ID: 44356
I. Burban and Yu. Drozd, “Derived tameness of nodal algebras,” J. Algebra, vol. 272, no. 1, pp. 46–94, 2004.
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2003 | Journal Article | LibreCat-ID: 44357
I. Burban, “Stable vector bundles on a rational curve with one node,” Ukrain. Mat. Zh., vol. 55, no. 7, pp. 867–874, 2003.
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2002 | Conference Paper | LibreCat-ID: 44535
I. Burban and Yu. Drozd, “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, Kiev, Ukraine, 2002, pp. 201–211.
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2002 | Journal Article | LibreCat-ID: 44358
I. Burban and H.-G. Freiermuth, “Geometrical properties of sections of Buchsbaum- Rim sheaves,” Le Matematiche, vol. LVII, pp. 265–283, 2002.
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2001 | Book Chapter | LibreCat-ID: 44536
I. Burban, Yu. Drozd, and G.-M. Greuel, “Vector bundles on singular projective curves,” in Applications of algebraic geometry to coding theory, physics and computation, C. Ciliberto, Ed. Kluwer Academic Publishers, 2001, pp. 1–15.
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