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A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space, II
https://doi.org/10.24517/00011042
https://doi.org/10.24517/000110426a256910-f682-4429-9478-19149ae30102
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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公開日 | 2017-10-03 | |||||||
タイトル | ||||||||
タイトル | A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space, II | |||||||
言語 | ||||||||
言語 | eng | |||||||
資源タイプ | ||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
資源タイプ | journal article | |||||||
ID登録 | ||||||||
ID登録 | 10.24517/00011042 | |||||||
ID登録タイプ | JaLC | |||||||
著者 |
Kodama, Akio
× Kodama, Akio× Shimizu, Satoru |
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著者別表示 |
児玉, 秋雄
× 児玉, 秋雄
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提供者所属 | ||||||||
内容記述タイプ | Other | |||||||
内容記述 | 金沢大学理工研究域数物科学系 | |||||||
書誌情報 |
Journal of the Mathematical Society of Japan 巻 58, 号 3, p. 643-663, 発行日 2006-07-01 |
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ISSN | ||||||||
収録物識別子タイプ | ISSN | |||||||
収録物識別子 | 0025-5645 | |||||||
NCID | ||||||||
収録物識別子タイプ | NCID | |||||||
収録物識別子 | AA0070177X | |||||||
DOI | ||||||||
関連タイプ | isIdenticalTo | |||||||
識別子タイプ | DOI | |||||||
関連識別子 | https://doi.org/10.2969/jmsj/1156342031 | |||||||
出版者 | ||||||||
出版者 | 日本数学会 = Mathematical Society of Japan | |||||||
抄録 | ||||||||
内容記述タイプ | Abstract | |||||||
内容記述 | In this paper, we prove that the holomorphic automorphism groups of the spaces Ck × (C*)n-k and (Ck - {0}) × (C*)n-k are not isomorphic as topological groups. By making use of this fact, we establish the following characterization of the space Ck × (C*)n-k: Let M be a connected complex manifold of dimension n that is holomorphically separable and admits a smooth envelope of holomorphy. Assume that the holomorphic automorphism group of M is isomorphic to the holomorphic automorphism group of Ck × (C*)n-k as topological groups. Then M itself is biholomorphically equivalent to Ck × (C*)n-k. This was first proved by us in [5] under the stronger assumption that M is a Stein manifold.全文公開200907 | |||||||
権利 | ||||||||
権利情報 | 2009 © Mathematical Society of Japan | |||||||
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出版タイプ | VoR | |||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |