Holomorphic equivalence problem for reinhardt domains and the conjugacy of torus actions

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Abstract

In this paper, we give an answer to the holomorphic equivalence problem for a basic class of unbounded Reinhardt domains. As an application, we show the conjugacy of torus actions on such a class of Reinhardt domains, and discuss the relation between the holomorphic equivalence problem for Reinhardt domains and the conjugacy of torus actions.

Original languageEnglish
Pages (from-to)273-291
Number of pages19
JournalTohoku Mathematical Journal
Volume68
Issue number2
DOIs
Publication statusPublished - 2016 Jan 1

Keywords

  • Holomorphic equivalence problem
  • Reinhardt domains
  • Torus actions

ASJC Scopus subject areas

  • Mathematics(all)

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