## Advanced Studies in Pure Mathematics

### Analytic polyhedra with non-compact automorphism group

Kang-Tae Kim

#### 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

Dates
First available in Project Euclid: 3 January 2019

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