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Moduli spaces of the stable vector bundles over abelian surfaces

Published online by Cambridge University Press:  22 January 2016

Hiroshi Umemura
Hiroshi Umemura*
Affiliation:
Nagoya University
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Let X be a projective non-singular variety and H an ample line bundle on X. The moduli space of H-stable vector bundles exists by Maruyama [4]. If X is a curve defined over C, the structure of the moduli space (or its compactification) M(X, d, r) of stable vector bundles of degree d and rank r on X is studied in detail. It is known that the variety M(X, d, r) is irreducible. Let L be a line bundle of degree d and let M(X, L, r) denote the closed subvariety of M(X, d, r) consisting of all the stable bundles E with det E = L.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 77 , February 1980 , pp. 47 - 60
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

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