Tohoku Mathematical Journal
2016

June
SECOND SERIES VOL. 68, NO. 2

Tohoku Math. J.
68 (2016), 273-291

Title HOLOMORPHIC EQUIVALENCE PROBLEM FOR REINHARDT DOMAINS AND THE CONJUGACY OF TORUS ACTIONS

Author Satoru Shimizu

(Received November 15, 2011, revised November 4, 2014)
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.

Mathematics Subject Classification. Primary 32A07; Secondary 32M05.

Key words and phrases. Holomorphic equivalence problem, Reinhardt domains, Torus actions.

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