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45 Publications
2022 | Journal Article | LibreCat-ID: 44328
@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={10.1016/j.aim.2022.108273}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }
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| DOI
2022 | Preprint | LibreCat-ID: 44537
@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic Maa forms via quiver representations}, author={Burban, Igor and Alfes-Neumann, C. and Raum, M.}, year={2022} }
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2022 | Journal Article | LibreCat-ID: 44327
@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }
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2021 | Journal Article | LibreCat-ID: 44329
@article{Burban_Abedin_2021, title={Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation}, volume={387}, DOI={10.1007/s00220-021-04188-7}, number={2}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Abedin, R.}, year={2021}, pages={1051–1109} }
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| DOI
2020 | Journal Article | LibreCat-ID: 44331
@article{Burban_Zheglov_2020, title={Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems}, volume={121}, DOI={10.1112/plms.12341}, number={4}, journal={Proceedings of the London Mathematical Society}, author={Burban, Igor and Zheglov, A.}, year={2020}, pages={1033–1082} }
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| DOI
2018 | Journal Article | LibreCat-ID: 44333
@article{Burban_Galinat_2018, title={Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation}, volume={364}, DOI={10.1007/s00220-018-3172-2}, number={1}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Galinat, L.}, year={2018}, pages={123–169} }
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| DOI
2018 | Preprint | LibreCat-ID: 44538
@article{Burban_Drozd_2018, title={Non-commutative nodal curves and derived tame algebras}, author={Burban, Igor and Drozd, Yu.}, year={2018} }
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2018 | Journal Article | LibreCat-ID: 44332
@article{Burban_Zheglov_2018, title={Fourier-Mukai transform on Weierstraß cubics and commuting differential operators}, volume={29}, number={101850064–46 pp}, journal={International Journal of Mathematics}, author={Burban, Igor and Zheglov, A.}, year={2018} }
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2017 | Book | LibreCat-ID: 44337
@book{Burban_Drozd_2017, edition={1178}, series={Memoirs of the American Mathematical Society}, title={Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems}, volume={248}, DOI={10.1090/memo/1178}, author={Burban, Igor and Drozd, Yu.}, year={2017}, collection={Memoirs of the American Mathematical Society} }
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| DOI
2017 | Preprint | LibreCat-ID: 44539
@article{Burban_Drozd_2017, title={On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems}, author={Burban, Igor and Drozd, Yu.}, year={2017} }
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2017 | Journal Article | LibreCat-ID: 44334
@article{Burban_Galinat_2017, title={Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE}, volume={50}, number={454002}, journal={Journal of Physics A: Mathematical and Theoretical}, author={Burban, Igor and Galinat, L.}, year={2017} }
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2017 | Journal Article | LibreCat-ID: 44335
@article{Burban_Drozd_Gavran_2017, title={Minors of non-commutative schemes}, volume={3}, number={2}, journal={European Journal of Mathematics}, author={Burban, Igor and Drozd, Yu. and Gavran, V.}, year={2017}, pages={311–341} }
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2017 | Journal Article | LibreCat-ID: 44336
@article{Burban_Drozd_Gavran_2017, title={Singular curves and quasi–hereditary algebras}, number={3}, journal={International Mathematics Research Notices 2017}, author={Burban, Igor and Drozd, Yu. and Gavran, V.}, year={2017}, pages={895–920} }
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2016 | Journal Article | LibreCat-ID: 44339
@article{Burban_Gnedin_2016, title={Cohen-Macaulay modules over some non-reduced curve singularities}, volume={220}, number={12}, journal={Journal of Pure and Applied Algebra}, author={Burban, Igor and Gnedin, W.}, year={2016}, pages={3777–3815} }
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2015 | Journal Article | LibreCat-ID: 44340
@article{Burban_Henrich_2015, title={Vector bundles on plane cubic curves and the classical Yang-Baxter equation}, volume={17}, DOI={10.4171/JEMS/512}, number={3}, journal={Journal of the European Math. Society}, author={Burban, Igor and Henrich, T.}, year={2015}, pages={591– 644} }
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| DOI
2014 | Journal Article | LibreCat-ID: 44341
@article{Burban_Kreußler_2014, title={Analytic moduli spaces of simple sheaves on families of integral curves}, volume={287}, number={2–3}, journal={Mathematische Nachrichten}, author={Burban, Igor and Kreußler, B.}, year={2014}, pages={173–183} }
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2013 | Journal Article | LibreCat-ID: 44342
@article{Burban_Schiffmann_2013, title={Composition algebra of a weighted projective line}, volume={679}, journal={Journal für Reine und Angew. Mathematik}, author={Burban, Igor and Schiffmann, O.}, year={2013}, pages={75–124} }
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2012 | Book | LibreCat-ID: 44346
@book{Burban_Kreußler_2012, edition={1035}, series={Memoirs of the American Mathematical Society}, title={Vector bundles on degenerations of elliptic curves and Yang-Baxter equations}, volume={220}, DOI={10.1090/S0065-9266-2012-00654-X}, author={Burban, Igor and Kreußler, B.}, year={2012}, collection={Memoirs of the American Mathematical Society} }
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| DOI
2012 | Journal Article | LibreCat-ID: 44344
@article{Burban_Schiffmann_2012, title={On the Hall algebra of an elliptic curve I}, volume={161}, DOI={10.1215/00127094-1593263}, number={7}, journal={Duke Mathematical Journal}, author={Burban, Igor and Schiffmann, O.}, year={2012}, pages={1171–1231} }
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| DOI
2012 | Journal Article | LibreCat-ID: 44345
@article{Burban_Henrich_2012, title={Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation}, volume={62}, number={2}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Henrich, T.}, year={2012}, pages={312–329} }
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