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Classification of log del~Pezzo surfaces of index two
http://hdl.handle.net/2261/20685
http://hdl.handle.net/2261/20685814ad4ce-f811-490b-b8e5-ba2f0135f1a7
名前 / ファイル | ライセンス | アクション |
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jms140301.pdf (1.7 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-10-15 | |||||
タイトル | ||||||
タイトル | Classification of log del~Pezzo surfaces of index two | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | del Pezzo surface | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | ruled surface | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | extremal ray | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Nakayama, Noboru
× Nakayama, Noboru |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this article, a log del~Pezzo surface of index two means a projective normal non-Gorenstein surface \( S \) such that \( (S, 0) \) is a log-terminal pair, the anti-canonical divisor \( -K_{S} \) is ample and that \( 2K_{S} \) is Cartier. The log del~Pezzo surfaces of index two are shown to be constructed from data \( (X, E, \Delta) \) called fundamental triplets consisting of a non-singular rational surface \( X \), a simple normal crossing divisor \( E \) of \( X \), and an effective Cartier divisor \( \Delta \) of \( E \) satisfying a suitable condition. A geometric classification of the fundamental triplets gives a classification of the log del~Pezzo surfaces of index two. As a result, any log del~Pezzo surface of index two can be described explicitly as a subvariety of a weighted projective space or of the product of two weighted projective spaces. This classification does not use the theory of K3 lattices, which is essential for the classification by Alexeev--Nikulin \cite{AN}. The comparison between two classifications is also discussed. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 14, 号 3, p. 293-498, 発行日 2007-10-15 |
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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 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathmatical Subject Classification | ||||||
14J25(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
14J26(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
14J70(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
14E30(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2006-11-17 |