Proper Holomorphic self-maps of quasi-circular domains in C2-Reference-Cited by-同舟云学术

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Proper Holomorphic self-maps of quasi-circular domains in C2

Published:2001-12 Issue: Volume:164 Page:1-16
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Coupet B.,Pan Y.,Sukhov A.

Abstract

In this paper, we prove that every proper holomorphic self-map of a smoothly bounded pseudoconvex circular or Hartogs domain of finite type in C2 is biholomorphic.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. On proper holomorphic mappings from domains with T-action

2. Proper Holomorphic Mappings from Domains with Real Analytic Boundary

3. Holomorphic vector fields and proper holomorphic self-maps of Reinhardt domains

4. Spherical hypersurfaces and lattes rational maps

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Proper holomorphic mappings of quasi-balanced domains in $$\mathbb {C}^3$$;Complex Analysis and its Synergies;2023-03-04

2. Some aspects of holomorphic mappings: A survey;Proceedings of the Steklov Institute of Mathematics;2017-08

3. Proper Holomorphic Self-Maps of Quasi-balanced Domains;The Journal of Geometric Analysis;2017-02-11

4. On automorphisms of quasi-circular domains fixing the origin;Bulletin des Sciences Mathématiques;2016-02

5. Proper holomorphic mappings of balanced domains in $$\mathbb {C}^n$$ C n;Mathematische Zeitschrift;2015-01-09

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