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42 Publications
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.
LibreCat
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.
LibreCat
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. 54, no. 2 (2012): 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 40, no. 8 (2012): 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 231, no. 1 (2012): 414–435.
LibreCat
2011 | Journal Article | LibreCat-ID: 44349
Burban, Igor, and Yu. Drozd. “Tilting on Non–Commutative Rational Projective Curves.” Mathematische Annalen 351, no. 3 (2011): 665–709.
LibreCat
2008 | Journal Article | LibreCat-ID: 44350
Burban, Igor, O. Iyama, B. Keller, and I. Reiten. “Cluster Tilting for One–Dimensional Hypersurface Singularities.” Advances in Mathematics 217, no. 6 (2008): 2443–2484. https://doi.org/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.” In Trends in Representations of Algebras and Related Topics, 101–160. EMS Publishing House, 2008.
LibreCat
2006 | Book Chapter | LibreCat-ID: 44531
Burban, Igor, L. Bodnarchuk, Yu. Drozd, and G.-M. Greuel. “Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves.” In Global Aspects of Complex Geometry, 83–129. Springer, 2006.
LibreCat
2006 | Journal Article | LibreCat-ID: 44352
Burban, Igor, and B. Kreußler. “On a Relative Fourier–Mukai Transform on Genus One Fibrations.” Manuscripta Mathematica 120, no. 3 (2006): 283–306.
LibreCat
2006 | Journal Article | LibreCat-ID: 44351
Burban, Igor, and B. Kreußler. “Derived Categories of Irreducible Projective Curves of Arithmetic Genus One.” Compositio Mathematica 142 (2006): 1231–1262.
LibreCat
2005 | Book Chapter | LibreCat-ID: 44532
Burban, Igor, and Yu. Drozd. “Derived Categories for Nodal Rings and Projective Configurations, Noncommutative Algebra and Geometry.” In A Series of Lecture Notes in Pure and Applied Mathematics, 243:23–46, 2005.
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2005 | Journal Article | LibreCat-ID: 44354
Burban, Igor. “Derived Categories and D-Branes.” Ukrain. Mat. Zh. 57, no. 1 (2005).
LibreCat
2005 | Journal Article | LibreCat-ID: 44353
Burban, Igor, and B. Kreußler. “Fourier-Mukai Transforms and Semi-Stable Sheaves on Nodal Weierstraß Cubics.” J. Reine Angew. Math. 584 (2005): 45–82.
LibreCat
2004 | Journal Article | LibreCat-ID: 44355
Burban, Igor, and Yu. Drozd. “Coherent Sheaves on Rational Curves with Simple Double Points and Transversal Intersections.” Duke Mathematical Journal 121, no. 2 (2004): 189–229. https://doi.org/10.1215/S0012-7094-04-12121-9.
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| DOI
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