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Moduli spaces of vector bundles over ruled surfaces

Published online by Cambridge University Press:  22 January 2016

Marian Aprodu  and
Vasile Brînzănescu
Marian Aprodu
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. BOX 1-764, RO-70700 Bucharest, Romania, aprodu@stoilow.imar.ro
Vasile Brînzănescu
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. BOX 1-764, RO-70700 Bucharest, Romania, brinzane@stoilow.imar.ro
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Abstract

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We study moduli spaces M(c1, c2, d, r) of isomorphism classes of algebraic 2-vector bundles with fixed numerical invariants c1, c2, d, r over a ruled surface. These moduli spaces are independent of any ample line bundle on the surface. The main result gives necessary and sufficient conditions for the non-emptiness of the space M(c1, c2, d, r) and we apply this result to the moduli spaces ML(c1, c2) of stable bundles, where L is an ample line bundle on the ruled surface.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 154 , 1999 , pp. 111 - 122
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

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