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Some Remarks on the Minimal Model Program for Log Canonical Pairs
http://hdl.handle.net/2261/59266
http://hdl.handle.net/2261/592660a2909e1-6304-47ae-879c-227f283997fa
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms220105.pdf (237.3 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2016-03-03 | |||||
| タイトル | ||||||
| タイトル | Some Remarks on the Minimal Model Program for Log Canonical Pairs | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Extremal contractions | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Fano contractions | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | lc-trivial fibrations | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | canonical bundle formulas | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | log canonical singularities | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | compact Kähler manifolds | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | non-Kähler manifolds | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Fujino, Osamu
× Fujino, Osamu |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, Graduate School of Science, Kyoto University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We prove that the target space of an extremal Fano contraction from a log canonical pair has only log canonical singularities. We also treat some related topics, for example, the finite generation of canonical rings for compact Kähler manifolds, and so on. The main ingredient of this paper is the nefness of the moduli parts of lc-trivial fibrations. We also give some observations on the semi-ampleness of the moduli parts of lc-trivial fibrations. For the reader’s convenience, we discuss some examples of non-Kähler manifolds, flopping contractions, and so on, in order to clarify our results. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 22, 号 1, p. 149-192, 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 | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 14E30(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 14N30(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 32J27(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2013-10-17 | ||||||
