On the analytic cohomology of a domain in a Stein manifold

Eastwood, Michael G.

doi:10.1090/S0002-9939-1981-0619989-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

On the analytic cohomology of a domain in a Stein manifold
HTML articles powered by AMS MathViewer

by Michael G. Eastwood PDF

Proc. Amer. Math. Soc. 83 (1981), 91-92 Request permission

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.

References

Henry B. Laufer, On the infinite dimensionality of the Dolbeault cohomology groups, Proc. Amer. Math. Soc. 52 (1975), 293–296. MR 379887, DOI 10.1090/S0002-9939-1975-0379887-2