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Multiplicities of fixed points of holomorphic maps in several complex variables

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Abstract

Let Δυ be the unit ball in ℂυ with center 0 (the origin of υ) and let F:Δυ→ℂυbe a holomorphic map withF(0) = 0. This paper is to study the fixed point multiplicities at the origin 0 of the iteratesF i=F∘⋯∘F (i times),i = 1,2,.... This problem is easy when υ = 1, but it is very complicated when υ > 1. We will study this problem generally.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China

    Guangyuan Zhang

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  1. Guangyuan Zhang
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Correspondence to Guangyuan Zhang.

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Zhang, G. Multiplicities of fixed points of holomorphic maps in several complex variables. Sci. China Ser. A-Math. 44, 330–337 (2001). https://doi.org/10.1007/BF02878713

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  • DOI: https://doi.org/10.1007/BF02878713

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