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45 Publications
2022 | Journal Article | LibreCat-ID: 44328
Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” Advances in Mathematics, vol. 399, 108273, 2022, doi:10.1016/j.aim.2022.108273.
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| DOI
2022 | Preprint | LibreCat-ID: 44537
Burban, Igor, et al. A Classification of Polyharmonic Maa Forms via Quiver Representations. 2022.
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2022 | Journal Article | LibreCat-ID: 44327
Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics, vol. 176, 104499, 2022.
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2021 | Journal Article | LibreCat-ID: 44329
Burban, Igor, 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, 2021, pp. 1051–1109, doi:10.1007/s00220-021-04188-7.
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| DOI
2020 | Journal Article | LibreCat-ID: 44331
Burban, Igor, 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, 2020, pp. 1033–1082, doi:10.1112/plms.12341.
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| DOI
2018 | Journal Article | LibreCat-ID: 44333
Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic Curves and the Classical Yang-Baxter Equation.” Communications in Mathematical Physics, vol. 364, no. 1, 2018, pp. 123–169, doi:10.1007/s00220-018-3172-2.
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| DOI
2018 | Preprint | LibreCat-ID: 44538
Burban, Igor, and Yu. Drozd. Non-Commutative Nodal Curves and Derived Tame Algebras. 2018.
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2018 | Journal Article | LibreCat-ID: 44332
Burban, Igor, and A. Zheglov. “Fourier-Mukai Transform on Weierstraß Cubics and Commuting Differential Operators.” International Journal of Mathematics, vol. 29, no. 10, 1850064-46 pp, 2018.
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2017 | Book | LibreCat-ID: 44337
Burban, Igor, and Yu. Drozd. Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems. 1178th ed., vol. 248, 2017, doi:10.1090/memo/1178.
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| DOI
2017 | Preprint | LibreCat-ID: 44539
Burban, Igor, and Yu. Drozd. On the Derived Categories of Gentle and Skew-Gentle Algebras: Homological Algebra and Matrix Problems. 2017.
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2017 | Journal Article | LibreCat-ID: 44334
Burban, Igor, 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, 454002, 2017.
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2017 | Journal Article | LibreCat-ID: 44335
Burban, Igor, et al. “Minors of Non-Commutative Schemes.” European Journal of Mathematics, vol. 3, no. 2, 2017, pp. 311–341.
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2017 | Journal Article | LibreCat-ID: 44336
Burban, Igor, et al. “Singular Curves and Quasi–Hereditary Algebras.” International Mathematics Research Notices 2017, no. 3, 2017, pp. 895–920.
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2016 | Journal Article | LibreCat-ID: 44339
Burban, Igor, and W. Gnedin. “Cohen-Macaulay Modules over Some Non-Reduced Curve Singularities.” Journal of Pure and Applied Algebra, vol. 220, no. 12, 2016, pp. 3777–3815.
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2015 | Journal Article | LibreCat-ID: 44340
Burban, Igor, 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, 2015, pp. 591– 644, doi:10.4171/JEMS/512.
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| DOI
2014 | Journal Article | LibreCat-ID: 44341
Burban, Igor, and B. Kreußler. “Analytic Moduli Spaces of Simple Sheaves on Families of Integral Curves.” Mathematische Nachrichten, vol. 287, no. 2–3, 2014, pp. 173–183.
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2013 | Journal Article | LibreCat-ID: 44342
Burban, Igor, and O. Schiffmann. “Composition Algebra of a Weighted Projective Line.” Journal Für Reine Und Angew. Mathematik, vol. 679, 2013, pp. 75–124.
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2012 | Book | LibreCat-ID: 44346
Burban, Igor, and B. Kreußler. Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations. 1035th ed., vol. 220, 2012, doi:10.1090/S0065-9266-2012-00654-X.
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| DOI
2012 | Journal Article | LibreCat-ID: 44344
Burban, Igor, and O. Schiffmann. “On the Hall Algebra of an Elliptic Curve I.” Duke Mathematical Journal, vol. 161, no. 7, 2012, pp. 1171–1231, doi:10.1215/00127094-1593263.
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| DOI
2012 | Journal Article | LibreCat-ID: 44345
Burban, Igor, 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, 2012, pp. 312–329.
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