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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the analytic cohomology of a domain in a Stein manifold


Author: Michael G. Eastwood
Journal: Proc. Amer. Math. Soc. 83 (1981), 91-92
MSC: Primary 32E10; Secondary 32C35
DOI: https://doi.org/10.1090/S0002-9939-1981-0619989-9
MathSciNet review: 619989
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Abstract: Suppose $ M$ is an open subset of a Stein manifold without isolated points and that $ V$ is a holomorphic vector-bundle on $ M$ admitting a holomorphic connection. Then $ {H^q}(M,\mathcal{O}(V))$ is either zero or of infinite dimension.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0619989-9
Article copyright: © Copyright 1981 American Mathematical Society