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45 Publications
2017 | Journal Article | LibreCat-ID: 44334
Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE
I. Burban, L. Galinat, Journal of Physics A: Mathematical and Theoretical 50 (2017).
LibreCat
I. Burban, L. Galinat, Journal of Physics A: Mathematical and Theoretical 50 (2017).
2017 | Journal Article | LibreCat-ID: 44335
Minors of non-commutative schemes
I. Burban, Yu. Drozd, V. Gavran, European Journal of Mathematics 3 (2017) 311–341.
LibreCat
I. Burban, Yu. Drozd, V. Gavran, European Journal of Mathematics 3 (2017) 311–341.
2017 | Journal Article | LibreCat-ID: 44336
Singular curves and quasi–hereditary algebras
I. Burban, Yu. Drozd, V. Gavran, International Mathematics Research Notices 2017 (2017) 895–920.
LibreCat
I. Burban, Yu. Drozd, V. Gavran, International Mathematics Research Notices 2017 (2017) 895–920.
2016 | Journal Article | LibreCat-ID: 44339
Cohen-Macaulay modules over some non-reduced curve singularities
I. Burban, W. Gnedin, Journal of Pure and Applied Algebra 220 (2016) 3777–3815.
LibreCat
I. Burban, W. Gnedin, Journal of Pure and Applied Algebra 220 (2016) 3777–3815.
2015 | Journal Article | LibreCat-ID: 44340
Vector bundles on plane cubic curves and the classical Yang-Baxter equation
I. Burban, T. Henrich, Journal of the European Math. Society 17 (2015) 591– 644.
LibreCat
| DOI
I. Burban, T. Henrich, Journal of the European Math. Society 17 (2015) 591– 644.
2014 | Journal Article | LibreCat-ID: 44341
Analytic moduli spaces of simple sheaves on families of integral curves
I. Burban, B. Kreußler, Mathematische Nachrichten 287 (2014) 173–183.
LibreCat
I. Burban, B. Kreußler, Mathematische Nachrichten 287 (2014) 173–183.
2013 | Journal Article | LibreCat-ID: 44342
Composition algebra of a weighted projective line
I. Burban, O. Schiffmann, Journal Für Reine Und Angew. Mathematik 679 (2013) 75–124.
LibreCat
I. Burban, O. Schiffmann, Journal Für Reine Und Angew. Mathematik 679 (2013) 75–124.
2012 | Book | LibreCat-ID: 44346
Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
I. Burban, B. Kreußler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, 1035th ed., 2012.
LibreCat
| DOI
I. Burban, B. Kreußler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, 1035th ed., 2012.
2012 | Journal Article | LibreCat-ID: 44344
On the Hall algebra of an elliptic curve I
I. Burban, O. Schiffmann, Duke Mathematical Journal 161 (2012) 1171–1231.
LibreCat
| DOI
I. Burban, O. Schiffmann, Duke Mathematical Journal 161 (2012) 1171–1231.
2012 | Journal Article | LibreCat-ID: 44345
Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
I. Burban, T. Henrich, Journal of Geometry and Physics 62 (2012) 312–329.
LibreCat
I. Burban, T. Henrich, Journal of Geometry and Physics 62 (2012) 312–329.
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.