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Holomorphic extension of CR functions from quadratic cones

Authors:	Debraj Chakrabarti Rasul Shafikov

Institution:	(1) Department of Mathematics, The University of Western Ontario, London, Canada, N6A 5B7

Abstract:	It is proved that CR functions on a quadratic cone M in ${\mathbb{C}^n}$ , 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 ${\mathbb{C}^2}$ is also given.

Keywords:	32V25 32A40
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