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Hodge Number of Cohomology of Local Systems on the Complement of Hyperplanes in $\Bbb P^3$
http://hdl.handle.net/2261/1187
http://hdl.handle.net/2261/11876acb318b-cd5d-4a1a-b857-aa3e7e6f532f
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Hodge Number of Cohomology of Local Systems on the Complement of Hyperplanes in $\Bbb P^3$ | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Hodge structure | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | cohomology of local system | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Kawahara, Yukihito
× Kawahara, Yukihito |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The cohomology of the local system on the complement of hyperplanes has a Hodge structure as the $α$-invariant cohomology of a Kummer covering ramified along their hyperplanes for a generic character $α$. In this paper we study the case of arrangements of hyperplanes in the three dimensional complex projective space. We construct a resolution for an arrangement of hyperplanes and compute its Chow group. By computing the first Chern class of logarithmic 1-forms, we can obtain the Euler characteristic and the Hodge numbers of cohomology of local systems using the intersection set of the arrangement of hyperplanes and binomial coefficients. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 8, 号 2, p. 177-199, 発行日 2001 |
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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Scheme | NDC | |||||
主題 | 415 | |||||
Mathematical Reviews Number | ||||||
MR1837160 | ||||||
Mathmatical Subject Classification | ||||||
14E22(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
52B30(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
14C30(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
14E20(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
14J30(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
58A14(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2000-03-02 |