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Sur la cohomologie de certains espaces de modules de fibrés vectoriels

A. Beauville
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Abstract

Let M be a moduli space of stable vector bundles on a curve with rank and degree fixed and coprime. We give a simple proof that the rational cohomology of M is generated by the Kunneth components of the Chern classes of the universal bundle. The proof applies also to some moduli spaces of vector bundles over higher-dimensional varieties.

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BibTeXRIS

A. Beauville. 1992-02-21. Sur la cohomologie de certains espaces de modules de fibrés vectoriels. https://arxiv.org/abs/alg-geom/9202024

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