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arXiv · 0706.0845

Holomorphic Extension of CR Functions from Quadratic Cones

Debraj Chakrabarti·Rasul Shafikov
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Abstract

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.

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Debraj Chakrabarti, Rasul Shafikov. 2011-03-07. Holomorphic Extension of CR Functions from Quadratic Cones. https://arxiv.org/abs/0706.0845

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