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45 Publications
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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2012 | Journal Article | LibreCat-ID: 44347
Burban, Igor, and O. Schiffmann. “Two Descriptions of the Quantum Affine Algebra Uv(Sl2) via Hall Algebra Approach.” Glasgow Journal of Math., vol. 54, no. 2, 2012, pp. 283–307.
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2012 | Journal Article | LibreCat-ID: 44348
Burban, Igor. “Frobenius Morphism and Vector Bundles on Cycles of Projective Lines.” Communications in Algebra, vol. 40, no. 8, 2012, pp. 2983–2988.
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2012 | Journal Article | LibreCat-ID: 44343
Burban, Igor, and M. Kalck. “Singularity Category of a Non–Commutative Resolution of Singularities.” Advances in Mathematics, vol. 231, no. 1, 2012, pp. 414–435.
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2011 | Journal Article | LibreCat-ID: 44349
Burban, Igor, and Yu. Drozd. “Tilting on Non–Commutative Rational Projective Curves.” Mathematische Annalen, vol. 351, no. 3, 2011, pp. 665–709.
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2008 | Journal Article | LibreCat-ID: 44350
Burban, Igor, et al. “Cluster Tilting for One–Dimensional Hypersurface Singularities.” Advances in Mathematics, vol. 217, no. 6, 2008, pp. 2443–2484, doi:10.1016/j.aim.2007.10.007.
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| DOI
2008 | Book Chapter | LibreCat-ID: 44530
Burban, Igor, and Yu. Drozd. “Maximal Cohen-Macaulay Modules over Surface Singularities.” Trends in Representations of Algebras and Related Topics, EMS Publishing House, 2008, pp. 101–160.
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2006 | Book Chapter | LibreCat-ID: 44531
Burban, Igor, et al. “Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves.” Global Aspects of Complex Geometry, Springer, 2006, pp. 83–129.
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2006 | Journal Article | LibreCat-ID: 44352
Burban, Igor, and B. Kreußler. “On a Relative Fourier–Mukai Transform on Genus One Fibrations.” Manuscripta Mathematica, vol. 120, no. 3, 2006, pp. 283–306.
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2006 | Journal Article | LibreCat-ID: 44351
Burban, Igor, and B. Kreußler. “Derived Categories of Irreducible Projective Curves of Arithmetic Genus One.” Compositio Mathematica, vol. 142, 2006, pp. 1231–1262.
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2005 | Book Chapter | LibreCat-ID: 44532
Burban, Igor, and Yu. Drozd. “Derived Categories for Nodal Rings and Projective Configurations, Noncommutative Algebra and Geometry.” A Series of Lecture Notes in Pure and Applied Mathematics, vol. 243, 2005, pp. 23–46.
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