Holomorphic extension of CR functions from quadratic cones

Debraj Chakrabarti; Rasul Shafikov

doi:10.1007/s00208-007-0200-5

Holomorphic extension of CR functions from quadratic cones

Debraj Chakrabarti, Rasul Shafikov

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

It is proved that CR functions on a quadratic cone M in ℂⁿ, 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 ℂ² is also given.

Original language	English
Pages (from-to)	543-573
Number of pages	31
Journal	Mathematische Annalen
Volume	341
Issue number	3
DOIs	https://doi.org/10.1007/s00208-007-0200-5
State	Published - Jul 2008

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abstract = "It is proved that CR functions on a quadratic cone M in ℂn, 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 ℂ2 is also given.",

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AB - It is proved that CR functions on a quadratic cone M in ℂn, 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 ℂ2 is also given.

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Holomorphic extension of CR functions from quadratic cones

Abstract

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