Automorphism groups of certain domains in Cⁿ with a singular boundary

Kang-Tae Kim

Vol. 151 (1991), No. 1, 57–64

DOI: 10.2140/pjm.1991.151.57

Abstract

In this paper, we show how to use the so-called scaling technique to prove the compactness of the automorphism groups of bounded strictly convex circular domains in Cⁿ whose boundaries are not entirely smooth, in case the singular locus of the boundary is globally complicated but locally simple in some topological sense.

Mathematical Subject Classification 2000

Primary: 32M05

Secondary: 32A07

Milestones

Received: 20 April 1990

Revised: 29 August 1990

Published: 1 November 1991