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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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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.
LibreCat | 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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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.
LibreCat | 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 | Book | LibreCat-ID: 44337
I. Burban and Yu. Drozd, Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems, 1178th ed., vol. 248. 2017.
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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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