Isolated fixed point sets for holomorphic maps

2006/01/20 by Buma L. Fridman, Daowei Ma, Fridman, Buma L. +4
Mathematics · #32M05 #58C30 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Fixed Point Theorems Analysis #Meromorphic and Entire Functions #math.CV #msc:32M05 #msc:58C30

paper · pdf · doi:10.48550/arxiv.math/0601497

12 pages

arxiv created 2006/01/20 · openalex publication_date 2006/01/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Cⁿ with no non-trivial holomorphic retractions is constructed.

Citations

• Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold

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