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Explicit Examples of Rational and Calabi-Yau Threefolds with Primitive Automorphisms of Positive Entropy
http://hdl.handle.net/2261/59273
http://hdl.handle.net/2261/59273167dd4d0-e2de-456d-bb8a-71859e531d5d
名前 / ファイル | ライセンス | アクション |
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jms220112.pdf (169.1 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2016-03-03 | |||||
タイトル | ||||||
タイトル | Explicit Examples of Rational and Calabi-Yau Threefolds with Primitive Automorphisms of Positive Entropy | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Rationality of manifolds | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | rational threefold | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Calabi-Yau threefold | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | primitive automorphism | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | entropy | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | dynamical degrees | |||||
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 | departmental bulletin paper | |||||
著者 |
Oguiso, Keiji
× Oguiso, Keiji× Truong, Tuyen Trung |
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著者所属 | ||||||
値 | Department of Mathematics, Osaka University | |||||
著者所属 | ||||||
値 | Korea Institute for Advanced Study | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We present the first explicit examples of a rational threefold and a Calabi-Yau threefold, admitting biregular automorphisms of positive entropy not preserving any dominant rational maps to lower positive dimensional varieties. These examples are also the first whose dynamical degrees are not Salem numbers. Crucial parts are the rationality of the quotient threefold of a certain 3-dimensional torus of product type and a numerical criterion of primitivity of birational automorphisms in terms of dynamical degrees. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 22, 号 1, p. 361-385, 発行日 2015-02-27 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 415 | |||||
Mathematical Reviews Number | ||||||
値 | MR | |||||
Mathmatical Subject Classification | ||||||
値 | 14E08(MSC2010) | |||||
Mathmatical Subject Classification | ||||||
値 | 14J32(MSC2010) | |||||
Mathmatical Subject Classification | ||||||
値 | 14J50(MSC2010) | |||||
Mathmatical Subject Classification | ||||||
値 | 37F99(MSC2010) | |||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
値 | 2014-07-07 |