Advanced Studies in Pure Mathematics

Deformations of Singularities, Complex Manifolds and CR-Structures

Charles L. Epstein

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Abstract

This note is an expanded version of the author’s lecture at the conference on Several Complex Variables held in Osaka, Dec. 1994. We consider deformations of complex spaces and their relationship to deformations of CR-structures. An invariant is introduced which measures the change in the algebra of CR-functions under a deformation. These issues are then considered in the context of the deformations of the total space of the tangent bundle of a Riemann surface. The last section contains problems in deformation theory.

Article information

Source
CR-Geometry and Overdetermined Systems, T. Akahori, G. Komatsu, K. Miyajima, M. Namba and K. Yamaguchi, eds. (Tokyo: Mathematical Society of Japan, 1997), 85-109

Dates
Received: 20 December 1995
First available in Project Euclid: 15 August 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1534361107

Digital Object Identifier
doi:10.2969/aspm/02510085

Mathematical Reviews number (MathSciNet)
MR1476239

Zentralblatt MATH identifier
0886.32024

Citation

Epstein, Charles L. Deformations of Singularities, Complex Manifolds and CR-Structures. CR-Geometry and Overdetermined Systems, 85--109, Mathematical Society of Japan, Tokyo, Japan, 1997. doi:10.2969/aspm/02510085. https://projecteuclid.org/euclid.aspm/1534361107


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