数学物理学报

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CLASSIFICATION OF A CLASS OF HYPERBOLIC REINHARDT DOMAINS

严荣沐   

  1. 厦门大学数学学院, 厦门 361005
  • 收稿日期:2005-01-24 修回日期:1900-01-01 出版日期:2006-12-25 发布日期:2006-12-25
  • 通讯作者: 严荣沐
  • 基金资助:
    Supported by the National Natural Science Foundation of China (10501036) and the Natural Science Foundation of Fujian Province of China (Z0511003).

CLASSIFICATION OF A CLASS OF HYPERBOLIC REINHARDT DOMAINS

Yan Rongmu   

  1. School of Mathematical Science, Xiamen University, Xiamen 361005, China
  • Received:2005-01-24 Revised:1900-01-01 Online:2006-12-25 Published:2006-12-25
  • Contact: Yan Rongmu

摘要: In this article, the author discusses the dimension of holomorphic automorphism groups on hyperbolic Reinhardt domains, and classifies those hyperbolic Reinhardt domains whose automorphism group has prescribed dimension n2-2 (where n is the dimension of domain).

关键词: Hyperbolic Reinhardt domain, Holomorphic automorphism, Algebraic automorphism

Abstract: In this article, the author discusses the dimension of holomorphic automorphism groups on hyperbolic Reinhardt domains, and classifies those hyperbolic Reinhardt domains whose automorphism group has prescribed dimension n2-2 (where n is the dimension of domain).

Key words: Hyperbolic Reinhardt domain, Holomorphic automorphism, Algebraic automorphism

中图分类号: 

  • 32H02