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