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42 Publications
2022 | Journal Article | LibreCat-ID: 44328
I. Burban and Yu. Drozd, “Morita theory for non-commutative noetherian schemes,” Advances in Mathematics, vol. 399, Art. no. 108273, 2022, doi: 10.1016/j.aim.2022.108273.
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| DOI
2022 | Journal Article | LibreCat-ID: 44327
I. Burban and A. Peruzzi, “On elliptic solutions of the associative Yang-Baxter equation,” Journal of Geometry and Physics, vol. 176, Art. no. 104499, 2022.
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2021 | Journal Article | LibreCat-ID: 44329
I. Burban and R. Abedin, “Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation,” Communications in Mathematical Physics, vol. 387, no. 2, pp. 1051–1109, 2021, doi: 10.1007/s00220-021-04188-7.
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| DOI
2020 | Journal Article | LibreCat-ID: 44331
I. Burban and A. Zheglov, “Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems,” Proceedings of the London Mathematical Society, vol. 121, no. 4, pp. 1033–1082, 2020, doi: 10.1112/plms.12341.
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| DOI
2018 | Journal Article | LibreCat-ID: 44333
I. Burban and L. Galinat, “Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation,” Communications in Mathematical Physics, vol. 364, no. 1, pp. 123–169, 2018, doi: 10.1007/s00220-018-3172-2.
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| DOI
2018 | Journal Article | LibreCat-ID: 44332
I. Burban and A. Zheglov, “Fourier-Mukai transform on Weierstraß cubics and commuting differential operators,” International Journal of Mathematics, vol. 29, no. 10, Art. no. 1850064–46 pp, 2018.
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2017 | Journal Article | LibreCat-ID: 44334
I. Burban and L. Galinat, “Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE,” Journal of Physics A: Mathematical and Theoretical, vol. 50, Art. no. 454002, 2017.
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2017 | Journal Article | LibreCat-ID: 44335
I. Burban, Yu. Drozd, and V. Gavran, “Minors of non-commutative schemes,” European Journal of Mathematics, vol. 3, no. 2, pp. 311–341, 2017.
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2017 | Journal Article | LibreCat-ID: 44336
I. Burban, Yu. Drozd, and V. Gavran, “Singular curves and quasi–hereditary algebras,” International Mathematics Research Notices 2017, no. 3, pp. 895–920, 2017.
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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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