Holomorphic Extension of CR Functions from Quadratic Cones

Details Holomorphic Extension of CR Functions from Quadratic Cones Holomorphic Extension of CR Functions from Quadratic Cones

2007-06-06

arxiv.org/abs/0706.0845v6

Math. Ann. (2008) 341:543-573

Mathematics

Complex Variables

A previous version of this article appeared in Mathematische Annalen, and subsequently a short erratum appeared. This version

Scientific paper

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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