Modules of finite length and -groups of surface singularities
Marc Levine (1986)
Compositio Mathematica
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Marc Levine (1986)
Compositio Mathematica
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Tonoli, F. (2001)
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Hubert Flenner (1986)
Compositio Mathematica
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Joseph Lipman (1979)
Compositio Mathematica
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Gang Yang, Zhongkui Liu, Li Liang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Dorin Popescu, Marko Roczen (1990)
Compositio Mathematica
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Maxim Leyenson (2012)
Open Mathematics
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Let (S, H) be a polarized K3 surface. We define Brill-Noether filtration on moduli spaces of vector bundles on S. Assume that (c 1(E), H) > 0 for a sheaf E in the moduli space. We give a formula for the expected dimension of the Brill-Noether subschemes. Following the classical theory for curves, we give a notion of Brill-Noether generic K3 surfaces. Studying correspondences between moduli spaces of coherent sheaves of different ranks on S, we prove our main theorem: polarized K3...
Maurice Auslander, Ragnar-Olaf Buchweitz (1989)
Mémoires de la Société Mathématique de France
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