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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2000; 37(2): 193-223

Printed March 1, 2000

Copyright © The Korean Mathematical Society.

CR geometry/analysis and deformation of isolated singularities

Kimio Miyajima

Kagoshima University

Abstract

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In the late 1970's, M. Kuranishi proposed to control the moduli of the germ of a normal Stein space by deformations of the CR structure on the boundary. I this paper, we will see that it is naturally accomplished by considering stably embeddable deformations of CR structures.

Keywords: Kuranishi space, CR structure, stability, isolated singularity

MSC numbers: Primary 32G07; Secondary 32S30

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