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42 Publications
2022 | Journal Article | LibreCat-ID: 44328
Burban I, Drozd Yu. Morita theory for non-commutative noetherian schemes. Advances in Mathematics. 2022;399. doi:10.1016/j.aim.2022.108273
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| DOI
2022 | Journal Article | LibreCat-ID: 44327
Burban I, Peruzzi A. On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics. 2022;176.
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2021 | Journal Article | LibreCat-ID: 44329
Burban I, Abedin R. Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. Communications in Mathematical Physics. 2021;387(2):1051–1109. doi:10.1007/s00220-021-04188-7
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 44331
Burban I, Zheglov A. Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Proceedings of the London Mathematical Society. 2020;121(4):1033–1082. doi:10.1112/plms.12341
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| DOI
2018 | Journal Article | LibreCat-ID: 44333
Burban I, Galinat L. Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. Communications in Mathematical Physics. 2018;364(1):123–169. doi:10.1007/s00220-018-3172-2
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 44332
Burban I, Zheglov A. Fourier-Mukai transform on Weierstraß cubics and commuting differential operators. International Journal of Mathematics. 2018;29(10).
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2017 | Book | LibreCat-ID: 44337
Burban I, Drozd Yu. Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems. Vol 248. 1178th ed.; 2017. doi:10.1090/memo/1178
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 44334
Burban I, Galinat L. Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE. Journal of Physics A: Mathematical and Theoretical. 2017;50.
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2017 | Journal Article | LibreCat-ID: 44335
Burban I, Drozd Yu, Gavran V. Minors of non-commutative schemes. European Journal of Mathematics. 2017;3(2):311–341.
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2017 | Journal Article | LibreCat-ID: 44336
Burban I, Drozd Yu, Gavran V. Singular curves and quasi–hereditary algebras. International Mathematics Research Notices 2017. 2017;(3):895-920.
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2016 | Journal Article | LibreCat-ID: 44339
Burban I, Gnedin W. Cohen-Macaulay modules over some non-reduced curve singularities. Journal of Pure and Applied Algebra. 2016;220(12):3777–3815.
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2015 | Journal Article | LibreCat-ID: 44340
Burban I, Henrich T. Vector bundles on plane cubic curves and the classical Yang-Baxter equation. Journal of the European Math Society. 2015;17(3):591– 644. doi:10.4171/JEMS/512
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 44341
Burban I, Kreußler B. Analytic moduli spaces of simple sheaves on families of integral curves. Mathematische Nachrichten. 2014;287(2–3):173–183.
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2013 | Journal Article | LibreCat-ID: 44342
Burban I, Schiffmann O. Composition algebra of a weighted projective line. Journal für Reine und Angew Mathematik. 2013;679:75–124.
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2012 | Book | LibreCat-ID: 44346
Burban I, Kreußler B. Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations. Vol 220. 1035th ed.; 2012. doi:10.1090/S0065-9266-2012-00654-X
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 44344
Burban I, Schiffmann O. On the Hall algebra of an elliptic curve I. Duke Mathematical Journal. 2012;161(7):1171–1231. doi:10.1215/00127094-1593263
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 44345
Burban I, Henrich T. Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation. Journal of Geometry and Physics. 2012;62(2):312–329.
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2012 | Journal Article | LibreCat-ID: 44347
Burban I, Schiffmann O. Two descriptions of the quantum affine algebra Uv(sl2) via Hall algebra approach. Glasgow Journal of Math. 2012;54(2):283–307.
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2012 | Journal Article | LibreCat-ID: 44348
Burban I. Frobenius morphism and vector bundles on cycles of projective lines. Communications in Algebra. 2012;40(8):2983–2988.
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2012 | Journal Article | LibreCat-ID: 44343
Burban I, Kalck M. Singularity category of a non–commutative resolution of singularities. Advances in Mathematics. 2012;231(1):414–435.
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