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Cohomology of certain moduli spaces of vector bundles

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Abstract

LetX be a smooth irreducible projective curve of genusg over the field of complex numbers. LetM 0 be the moduli space of semi-stable vector bundles onX of rank two and trivial determinant. A canonical desingularizationN o ofM o has been constructed by Seshadri [17]. In this paper we compute the third and fourth cohomology groups ofN o. In particular we give a different proof of the theorem due to Nitsure [12], that the third cohomology group ofN o is torsion-free.

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  1. The Institute of Mathematical Sciences, 600 113, Madras, India

    V Balaji

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  1. V Balaji
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Balaji, V. Cohomology of certain moduli spaces of vector bundles. Proc. Indian Acad. Sci. (Math. Sci.) 98, 1–24 (1988). https://doi.org/10.1007/BF02880966

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