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Bull. Korean Math. Soc. 2015; 52(4): 1321-1325

Printed July 31, 2015

https://doi.org/10.4134/BKMS.2015.52.4.1321

Copyright © The Korean Mathematical Society.

The limiting case of semicontinuity of automorphism groups

Steven G. Krantz

Washington University in St. Louis

Abstract

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In this paper we study the semicontinuity of the automorphism groups of domains in multi-dimensional complex space. We give examples to show that known results are sharp (in terms of the required boundary smoothness).

Keywords: biholomorphism, automorphism groups, semicontinuity

MSC numbers: 32M05, 32H02

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