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2002 On the cohomological completeness of {$q$}-complete domains with corners
Kazuko Matsumoto
Nagoya Math. J. 168: 105-112 (2002).

Abstract

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.

Citation

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Kazuko Matsumoto. "On the cohomological completeness of {$q$}-complete domains with corners." Nagoya Math. J. 168 105 - 112, 2002.

Information

Published: 2002
First available in Project Euclid: 27 April 2005

zbMATH: 1038.32020
MathSciNet: MR1942397

Subjects:
Primary: 32F10

Rights: Copyright © 2002 Editorial Board, Nagoya Mathematical Journal

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Vol.168 • 2002
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