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On the cohomological completeness of q-complete domains with corners

Published online by Cambridge University Press:  22 January 2016

Kazuko Matsumoto*
Affiliation:
Department of Applied Mathematics, Osaka Women’s University, Daisen-cho, Sakai 590-0035, Japan, kazuko@appmath.osaka-wu.ac.jp
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Abstract

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We prove the vanishing and non-vanishing theorems for an intersection of a finite number of q-complete domains in a complex manifold of dimension n. When q does not divide n, it is stronger than the result naturally obtained by combining the approximation theorem of Diederich-Fornaess for q-convex functions with corners and the vanishing theorem of Andreotti-Grauert for q-complete domains. We also give an example which implies our result is best possible.

Keywords

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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