Sur la cohomologie de certains espaces de modules de fibr\'es vectoriels
alg-geom
2008-02-03 v1 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9202024,
title = {Sur la cohomologie de certains espaces de modules de fibr\'es vectoriels},
author = {A. Beauville},
journal= {arXiv preprint arXiv:alg-geom/9202024},
year = {2008}
}
Comments
3 pages, Plain TeX