Advanced Studies in Pure Mathematics

Analytic polyhedra with non-compact automorphism group

Kang-Tae Kim

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Abstract

The main theme of this article concerns the characterization problem of analytic polyhedra in $\mathbf{C}^n$ with non-compact automorphism group. In particular, we include a proof that every bounded convex analytic polyhedron in $\mathbf{C}^n$ is biholomorphic to the product of a Kobayashi hyperbolic convex cone and a bounded convex domain. Several related recent developments are also introduced.

Article information

Source
Complex Analysis in Several Variables — Memorial Conference of Kiyoshi Oka's Centennial Birthday, Kyoto/Nara 2001, K. Miyajima, M. Furushima, H. Kazama, A. Kodama, J. Noguchi, T. Ohsawa, H. Tsuji and T. Ueda, eds. (Tokyo: Mathematical Society of Japan, 2004), 135-140

Dates
Received: 19 March 2002
First available in Project Euclid: 3 January 2019

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1546542845

Digital Object Identifier
doi:10.2969/aspm/04210135

Mathematical Reviews number (MathSciNet)
MR2087046

Zentralblatt MATH identifier
1071.32020

Citation

Kim, Kang-Tae. Analytic polyhedra with non-compact automorphism group. Complex Analysis in Several Variables — Memorial Conference of Kiyoshi Oka's Centennial Birthday, Kyoto/Nara 2001, 135--140, Mathematical Society of Japan, Tokyo, Japan, 2004. doi:10.2969/aspm/04210135. https://projecteuclid.org/euclid.aspm/1546542845


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