English

Isolated fixed point sets for holomorphic maps

Complex Variables 2007-05-23 v1

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 Cn{\Bbb C}^n with no non-trivial holomorphic retractions is constructed.

Keywords

Cite

@article{arxiv.math/0601497,
  title  = {Isolated fixed point sets for holomorphic maps},
  author = {Buma L. Fridman and Daowei Ma and Jean-Pierre Vigue},
  journal= {arXiv preprint arXiv:math/0601497},
  year   = {2007}
}

Comments

12 pages