Homogeneous Reinhardt domains containing no coordinate hyperplanes

Satoru Shimizu; Kouichi Kimura

doi:10.2996/kmj/1396008257

Homogeneous Reinhardt domains containing no coordinate hyperplanes

Satoru Shimizu, Kouichi Kimura

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

As is well-known, a homogeneous Reinhardt domain in C* coinsides with C*. In this paper, generalizing this fact, we show that a pseudoconvex homogeneous Reinhardt domain in (C*)ⁿ coinsides with (C*)ⁿ itself.

Original language	English
Pages (from-to)	235-245
Number of pages	11
Journal	Kodai Mathematical Journal
Volume	37
Issue number	1
DOIs	https://doi.org/10.2996/kmj/1396008257
Publication status	Published - 2014

Keywords

Automorphism groups
Reinhardt domains

ASJC Scopus subject areas

Mathematics(all)

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10.2996/kmj/1396008257

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title = "Homogeneous Reinhardt domains containing no coordinate hyperplanes",

abstract = "As is well-known, a homogeneous Reinhardt domain in C* coinsides with C*. In this paper, generalizing this fact, we show that a pseudoconvex homogeneous Reinhardt domain in (C*)n coinsides with (C*)n itself.",

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author = "Satoru Shimizu and Kouichi Kimura",

year = "2014",

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journal = "Kodai Mathematical Journal",

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AU - Shimizu, Satoru

AU - Kimura, Kouichi

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KW - Automorphism groups

KW - Reinhardt domains

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JO - Kodai Mathematical Journal

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SN - 0386-5991

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Homogeneous Reinhardt domains containing no coordinate hyperplanes

Abstract

Keywords

ASJC Scopus subject areas

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