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Tohoku Mathematical Journal
SECOND SERIES VOL. 68, NO. 2
|Tohoku Math. J.|
68 (2016), 273-291
HOLOMORPHIC EQUIVALENCE PROBLEM FOR REINHARDT DOMAINS AND THE CONJUGACY OF TORUS ACTIONS
(Received November 15, 2011, revised November 4, 2014)
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.
Mathematics Subject Classification.
Primary 32A07; Secondary 32M05.
Key words and phrases.
Holomorphic equivalence problem, Reinhardt domains, Torus actions.
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