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On the cohomology groups of holomorphic Banach bundles
Author(s):
László
Lempert
Journal:
Trans. Amer. Math. Soc.
361
(2009),
4013-4025.
MSC (2000):
Primary 32L05, 32L10, 58B15
Posted:
March 12, 2009
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Additional information
Abstract:
We consider a compact complex manifold  and introduce the notion of two holomorphic Banach bundles  over  being compact perturbations of one another. Given two such bundles we show that if the cohomology groups  are finite dimensional, then so are the cohomology groups  ; as well as a more precise result in the same spirit.
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Additional Information:
László
Lempert
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395
DOI:
10.1090/S0002-9947-09-04835-1
PII:
S 0002-9947(09)04835-1
Received by editor(s):
May 4, 2007
Posted:
March 12, 2009
Additional Notes:
This research was partially supported by NSF grants DMS0203072 and 0700281
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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