Sur la cohomologie de certains espaces de modules de fibrés vectoriels

Details Sur la cohomologie de certains espaces de modules de fibrés vectoriels Sur la cohomologie de certains espaces de modules de fibrés vectoriels

1992-02-21

arxiv.org/abs/alg-geom/9202024v1

Mathematics

Algebraic Geometry

3 pages, Plain TeX

Scientific paper

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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