On the cohomology groups of holomorphic Banach bundles

Details On the cohomology groups of holomorphic Banach bundles On the cohomology groups of holomorphic Banach bundles

2008-10-30

arxiv.org/abs/0810.5429v1

Mathematics

Complex Variables

14 pages

Scientific paper

We consider a compact complex manifold $M$, and introduce the notion of two
holomorphic Banach bundles $E,F$ over $M$ being compact perturbations of one
another. Given two such bundles we show that if the cohomology groups
$H^q(M,E)$ are finite dimensional then so are the cohomology groups $H^q(M,F)$;
as well as a more precise result in the same spirit.

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