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45 Publications


2022 | Journal Article | LibreCat-ID: 44328
Morita theory for non-commutative noetherian schemes
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).
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2022 | Preprint | LibreCat-ID: 44537
A classification of polyharmonic Maa forms via quiver representations
I. Burban, C. Alfes-Neumann, M. Raum, (2022).
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2022 | Journal Article | LibreCat-ID: 44327
On elliptic solutions of the associative Yang-Baxter equation
I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).
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2021 | Journal Article | LibreCat-ID: 44329
Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
I. Burban, R. Abedin, Communications in Mathematical Physics 387 (2021) 1051–1109.
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2020 | Journal Article | LibreCat-ID: 44331
Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems
I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.
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2018 | Journal Article | LibreCat-ID: 44333
Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation
I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.
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2018 | Preprint | LibreCat-ID: 44538 LibreCat | Download (ext.)
 

2018 | Journal Article | LibreCat-ID: 44332
Fourier-Mukai transform on Weierstraß cubics and commuting differential operators
I. Burban, A. Zheglov, International Journal of Mathematics 29 (2018).
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2017 | Book | LibreCat-ID: 44337
Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems
I. Burban, Yu. Drozd, Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems, 1178th ed., 2017.
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2017 | Journal Article | LibreCat-ID: 44334
Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE
I. Burban, L. Galinat, Journal of Physics A: Mathematical and Theoretical 50 (2017).
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2017 | Journal Article | LibreCat-ID: 44335
Minors of non-commutative schemes
I. Burban, Yu. Drozd, V. Gavran, European Journal of Mathematics 3 (2017) 311–341.
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2017 | Journal Article | LibreCat-ID: 44336
Singular curves and quasi–hereditary algebras
I. Burban, Yu. Drozd, V. Gavran, International Mathematics Research Notices 2017 (2017) 895–920.
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2016 | Journal Article | LibreCat-ID: 44339
Cohen-Macaulay modules over some non-reduced curve singularities
I. Burban, W. Gnedin, Journal of Pure and Applied Algebra 220 (2016) 3777–3815.
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2015 | Journal Article | LibreCat-ID: 44340
Vector bundles on plane cubic curves and the classical Yang-Baxter equation
I. Burban, T. Henrich, Journal of the European Math. Society 17 (2015) 591– 644.
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2014 | Journal Article | LibreCat-ID: 44341
Analytic moduli spaces of simple sheaves on families of integral curves
I. Burban, B. Kreußler, Mathematische Nachrichten 287 (2014) 173–183.
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2013 | Journal Article | LibreCat-ID: 44342
Composition algebra of a weighted projective line
I. Burban, O. Schiffmann, Journal Für Reine Und Angew. Mathematik 679 (2013) 75–124.
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2012 | Book | LibreCat-ID: 44346
Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
I. Burban, B. Kreußler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, 1035th ed., 2012.
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2012 | Journal Article | LibreCat-ID: 44344
On the Hall algebra of an elliptic curve I
I. Burban, O. Schiffmann, Duke Mathematical Journal 161 (2012) 1171–1231.
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2012 | Journal Article | LibreCat-ID: 44345
Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
I. Burban, T. Henrich, Journal of Geometry and Physics 62 (2012) 312–329.
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