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42 Publications


2022 | Journal Article | LibreCat-ID: 44328
Burban, I., & Drozd, Yu. (2022). Morita theory for non-commutative noetherian schemes. Advances in Mathematics, 399, Article 108273. https://doi.org/10.1016/j.aim.2022.108273
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2022 | Journal Article | LibreCat-ID: 44327
Burban, I., & Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics, 176, Article 104499.
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2021 | Journal Article | LibreCat-ID: 44329
Burban, I., & Abedin, R. (2021). Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. Communications in Mathematical Physics, 387(2), 1051–1109. https://doi.org/10.1007/s00220-021-04188-7
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2020 | Journal Article | LibreCat-ID: 44331
Burban, I., & Zheglov, A. (2020). Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Proceedings of the London Mathematical Society, 121(4), 1033–1082. https://doi.org/10.1112/plms.12341
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2018 | Journal Article | LibreCat-ID: 44333
Burban, I., & Galinat, L. (2018). Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. Communications in Mathematical Physics, 364(1), 123–169. https://doi.org/10.1007/s00220-018-3172-2
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 44332
Burban, I., & Zheglov, A. (2018). Fourier-Mukai transform on Weierstraß cubics and commuting differential operators. International Journal of Mathematics, 29(10), Article 1850064- 46 pp.
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2017 | Book | LibreCat-ID: 44337
Burban, I., & Drozd, Yu. (2017). Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems (1178th ed., Vol. 248). https://doi.org/10.1090/memo/1178
LibreCat | DOI
 

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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