On the cohomology groups of holomorphic Banach bundles

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dc.creatorLempert, Laszlo
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:08Z
dc.date.available2026-07-07T10:14:08Z
dc.descriptionWe 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0810.5429
dc.identifierhttp://arxiv.org/abs/0810.5429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172778
dc.subjectComplex Variables
dc.subject32L05, 32L10, 58B15
dc.titleOn the cohomology groups of holomorphic Banach bundles
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