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45 Publications
2017 | Journal Article | LibreCat-ID: 44334
Burban, I., & Galinat, L. (2017). Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE. Journal of Physics A: Mathematical and Theoretical, 50, Article 454002.
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2017 | Journal Article | LibreCat-ID: 44335
Burban, I., Drozd, Yu., & Gavran, V. (2017). Minors of non-commutative schemes. European Journal of Mathematics, 3(2), 311–341.
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2017 | Journal Article | LibreCat-ID: 44336
Burban, I., Drozd, Yu., & Gavran, V. (2017). Singular curves and quasi–hereditary algebras. International Mathematics Research Notices 2017, 3, 895–920.
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2016 | Journal Article | LibreCat-ID: 44339
Burban, I., & Gnedin, W. (2016). Cohen-Macaulay modules over some non-reduced curve singularities. Journal of Pure and Applied Algebra, 220(12), 3777–3815.
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2015 | Journal Article | LibreCat-ID: 44340
Burban, I., & Henrich, T. (2015). Vector bundles on plane cubic curves and the classical Yang-Baxter equation. Journal of the European Math. Society, 17(3), 591– 644. https://doi.org/10.4171/JEMS/512
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| DOI
2014 | Journal Article | LibreCat-ID: 44341
Burban, I., & Kreußler, B. (2014). Analytic moduli spaces of simple sheaves on families of integral curves. Mathematische Nachrichten, 287(2–3), 173–183.
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2013 | Journal Article | LibreCat-ID: 44342
Burban, I., & Schiffmann, O. (2013). Composition algebra of a weighted projective line. Journal Für Reine Und Angew. Mathematik, 679, 75–124.
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2012 | Book | LibreCat-ID: 44346
Burban, I., & Kreußler, B. (2012). Vector bundles on degenerations of elliptic curves and Yang-Baxter equations (1035th ed., Vol. 220). https://doi.org/10.1090/S0065-9266-2012-00654-X
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| DOI
2012 | Journal Article | LibreCat-ID: 44344
Burban, I., & Schiffmann, O. (2012). On the Hall algebra of an elliptic curve I. Duke Mathematical Journal, 161(7), 1171–1231. https://doi.org/10.1215/00127094-1593263
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| DOI
2012 | Journal Article | LibreCat-ID: 44345
Burban, I., & Henrich, T. (2012). Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation. Journal of Geometry and Physics, 62(2), 312–329.
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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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