On defining functions and cores for unbounded domains. III
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Published:2021-06-01
Issue:6
Volume:212
Page:859-885
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ISSN:1064-5616
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Container-title:Sbornik: Mathematics
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language:
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Short-container-title:Sb. Math.
Author:
Harz T.,Shcherbina N.,Tomassini G.
Abstract
Abstract
We extend the authors’ results on existence of global defining functions to a number of different settings. In particular, we relax the assumption on strict pseudoconvexity of the domain to strict
-pseudoconvexity and we consider more general situations, where the ambient space is an almost complex manifold or a complex space. We also investigate to what extent the assumption on smoothness of the boundary of the domains under consideration is necessary in our results.
Bibliography: 27 titles.
Funder
Deutsche Forschungsgemeinschaft
National Research Foundation of Korea
Subject
Algebra and Number Theory
Cited by
2 articles.
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