2005/10/12 by Buma L. Fridman, Daowei Ma, Fridman, Buma L. +4 · 1 citation
Mathematics · #32M05 #54H15 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #msc:32M05 #msc:54H15
paper · pdf · doi:10.48550/arxiv.math/0510255
10 pages
openalex publication_date 2005/10/12 · arxiv created 2006/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study fixed point sets for holomorphic automorphisms (and endomorphisms) on complex manifolds. The main object of our interest is to determine the number and configuration of fixed points that forces an automorphism (endomorphism) to be the identity. These questions have been examined in a number of papers for a bounded domain in \Bbb Cn. Here we resolve the case for a general finite dimensional hyperbolic manifold. We also show that the results for non-hyperbolic manifolds are notably different.