Holomorphic Extension of CR Functions from Quadratic Cones

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Chakrabarti, Debraj
Shafikov, Rasul
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Abstract
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It is proved that CR functions on a quadratic cone M in $\C^n$, n>1, admit one-sided holomorphic extension if and only if M does not have two-sided support, a geometric condition on M which generalizes minimality in the sense of Tumanov. A biholomorphic classification of quadratic cones in $\C^2$ is also given.
Comment: A previous version of this article appeared in Mathematische Annalen, and subsequently a short erratum appeared. This version incorporates the (minor) changes given in the erratum
Keywords
Mathematics - Complex Variables, 32V25 (Primary), 32V05, 32V40, 32V99 (Secondary)
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