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45 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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| DOI
2022 | Preprint | LibreCat-ID: 44537
Burban, I., Alfes-Neumann, C., & Raum, M. (2022). A classification of polyharmonic Maa forms via quiver representations.
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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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| DOI
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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| DOI
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
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| DOI
2018 | Preprint | LibreCat-ID: 44538
Burban, I., & Drozd, Yu. (2018). Non-commutative nodal curves and derived tame algebras.
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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
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| DOI
2017 | Preprint | LibreCat-ID: 44539
Burban, I., & Drozd, Yu. (2017). On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems.
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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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