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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 399 (2022). https://doi.org/10.1016/j.aim.2022.108273.
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| DOI
2022 | Preprint | LibreCat-ID: 44537
Burban, Igor, C. Alfes-Neumann, and M. Raum. “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 176 (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 387, no. 2 (2021): 1051–1109. https://doi.org/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 121, no. 4 (2020): 1033–1082. https://doi.org/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 364, no. 1 (2018): 123–169. https://doi.org/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 29, no. 10 (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. Memoirs of the American Mathematical Society, 2017. https://doi.org/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 50 (2017).
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2017 | Journal Article | LibreCat-ID: 44335
Burban, Igor, Yu. Drozd, and V. Gavran. “Minors of Non-Commutative Schemes.” European Journal of Mathematics 3, no. 2 (2017): 311–341.
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2017 | Journal Article | LibreCat-ID: 44336
Burban, Igor, Yu. Drozd, and V. Gavran. “Singular Curves and Quasi–Hereditary Algebras.” International Mathematics Research Notices 2017, no. 3 (2017): 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 220, no. 12 (2016): 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 17, no. 3 (2015): 591– 644. https://doi.org/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 287, no. 2–3 (2014): 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 679 (2013): 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. Memoirs of the American Mathematical Society, 2012. https://doi.org/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 161, no. 7 (2012): 1171–1231. https://doi.org/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 62, no. 2 (2012): 312–329.
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