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2-spheres of square -1 and the geography of genus-2 Lefschetz fibrations
http://hdl.handle.net/2261/33055
http://hdl.handle.net/2261/330553d680040-91ae-477a-8982-a94681cf5df1
名前 / ファイル | ライセンス | アクション |
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jms150403.pdf (273.0 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2010-06-30 | |||||
タイトル | ||||||
タイトル | 2-spheres of square -1 and the geography of genus-2 Lefschetz fibrations | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Lefschetz fibrations | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | 4-manifolds | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | pseudo-holomorphic curves | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Gromov invariants | |||||
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 |
Sato, Yoshihisa
× Sato, Yoshihisa |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Using the Gromov invariants and the Taubes'structure theorem, we investigate how spheres of square -1 are embedded against fibers in relatively minimal Lefschetz fibrations over S2 and show the finiteness of the geography of relatively minimal genus-2 Lefschetz fibrations containing spheres of square -1. Furthermore, we present the list of possible pairs (n, s) of the numbers of irreducible singular fibers and reducible singular fibers in such a Lefschetz fibration. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 15, 号 4, p. 461-491, 発行日 2009-02-20 |
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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 | 415 | |||||
主題Scheme | NDC | |||||
Mathmatical Subject Classification | ||||||
57R17(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
32Q65(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2008-09-17 jms150403.pdf |