Moduli of representations of the fundamental group of a smooth projective variety II
Carlos T. Simpson (1994)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “Moduli of representations of the fundamental group of a smooth projective variety I”
Moduli of representations of the fundamental group of a smooth projective variety II
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We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.
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Aldo Andreotti, Constantin Bănică (1980)
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On the Brill-Noether theory for K3 surfaces
Maxim Leyenson (2012)
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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...