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arXiv · 0810.5429

On the cohomology groups of holomorphic Banach bundles

Laszlo Lempert
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Abstract

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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Laszlo Lempert. 2008-10-30. On the cohomology groups of holomorphic Banach bundles. https://arxiv.org/abs/0810.5429

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