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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 |
|---|---|---|
jms080201.pdf (182.1 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 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 | ||||||
