# Isolated fixed point sets for holomorphic maps

Research paper by Buma L. Fridman, Daowei Ma, Jean-Pierre Vigue

Indexed on: 20 Jan '06Published on: 20 Jan '06Published in: Mathematics - Complex Variables

#### Abstract

We study discrete fixed point sets of holomorphic self-maps of complex manifolds. The main attention is focused on the cardinality of this set and its configuration. As a consequence of one of our observations, a bounded domain in \${\Bbb C}^n\$ with no non-trivial holomorphic retractions is constructed.