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Displaying similar documents to “On Cohen-Macaulay modules over non-commutative surface singularities”

λ and μ -dimensions of modules

Edgar E. Enochs, Overtoun M. G. Jenda, Luis Oyonarte (2001)

Rendiconti del Seminario Matematico della Università di Padova

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On the Brill-Noether theory for K3 surfaces

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...