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Rationality of moduli spaces of vector bundles on rational surfaces

Published online by Cambridge University Press:  22 January 2016

Laura Costa  and
Rosa M. Miro-Ŕoig
Laura Costa
Affiliation:
Dept. Algebra y Geometría, Facultad de Matemáticas, Universidad de Barcelona, 08007 Barcelona, Spain
Rosa M. Miro-Ŕoig
Affiliation:
Dept. Algebra y Geometría, Facultad de Matemáticas, Universidad de Barcelona, 08007 Barcelona, Spain, miro@mat.ub.es
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Abstract

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Let X be a smooth rational surface. In this paper, we prove the rationality of the moduli space MX,L(2; c1; c2) of rank two L-stable vector bundles E on X with det (E) = c1 ∈ Pic(X) and c2(E) = c2 ≫ 0.

Keywords

14F05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 165 , March 2002 , pp. 43 - 69
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

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