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Rationality of moduli spaces of vector bundles on rational surfaces

  • Laura Costa (a1) and Rosa M. Miro-Ŕoig (a2)
Abstract

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.

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COPYRIGHT: © Editorial Board of Nagoya Mathematical Journal 2002
References
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Nagoya Mathematical Journal
  • ISSN: 0027-7630
  • EISSN: 2152-6842
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