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Topologically trivial holomorphic vector bundles on infinite-dimensional projective varieties

Published online by Cambridge University Press:  12 July 2007

E. Ballico
E. Ballico
Affiliation:
Department of Mathematics, University of Trento, 38050 Povo (TN), Italy(ballico@science.unitn.it)
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Abstract

Let V be an infinite-dimensional locally convex complex space, X a closed subset of P(V) defined by finitely many continuous homogeneous equations and E a holomorphic vector bundle on X with finite rank. Here we show that E is holomorphically trivial if it is topologically trivial and spanned by its global sections and in a few other cases.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 1 , February 2004 , pp. 33 - 38
Copyright
Copyright © Royal Society of Edinburgh 2004

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