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42 Publications
2016 | Journal Article | LibreCat-ID: 44339
I. Burban and W. Gnedin, “Cohen-Macaulay modules over some non-reduced curve singularities,” Journal of Pure and Applied Algebra, vol. 220, no. 12, pp. 3777–3815, 2016.
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2015 | Journal Article | LibreCat-ID: 44340
I. Burban and T. Henrich, “Vector bundles on plane cubic curves and the classical Yang-Baxter equation,” Journal of the European Math. Society, vol. 17, no. 3, pp. 591– 644, 2015, doi: 10.4171/JEMS/512.
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| DOI
2014 | Journal Article | LibreCat-ID: 44341
I. Burban and B. Kreußler, “Analytic moduli spaces of simple sheaves on families of integral curves,” Mathematische Nachrichten, vol. 287, no. 2–3, pp. 173–183, 2014.
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2013 | Journal Article | LibreCat-ID: 44342
I. Burban and O. Schiffmann, “Composition algebra of a weighted projective line,” Journal für Reine und Angew. Mathematik, vol. 679, pp. 75–124, 2013.
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2012 | Journal Article | LibreCat-ID: 44344
I. Burban and O. Schiffmann, “On the Hall algebra of an elliptic curve I,” Duke Mathematical Journal, vol. 161, no. 7, pp. 1171–1231, 2012, doi: 10.1215/00127094-1593263.
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| DOI
2012 | Journal Article | LibreCat-ID: 44345
I. Burban and T. Henrich, “Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation,” Journal of Geometry and Physics, vol. 62, no. 2, pp. 312–329, 2012.
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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
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