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A Generalization of the Artin-Tate Formula for Fourfolds
http://hdl.handle.net/2261/52409
http://hdl.handle.net/2261/52409ccaeb32d-e84e-493b-8fb7-7b42e34d5500
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 | 2012-10-22 | |||||
タイトル | ||||||
タイトル | A Generalization of the Artin-Tate Formula for Fourfolds | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Kohmoto, Daichi
× Kohmoto, Daichi |
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著者所属 | ||||||
著者所属 | Nagoya University, Graduate School of Mathematics | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We give a new formula for the special value at s = 2 of the Hasse-Weil zeta function for smooth projective fourfolds under some assumptions (the Tate & Beilinson conjecture and the finite generation of the Chow group CH2(X). Our formula may be considered as a generalization of the Artin-Tate(-Milne) formula for smooth surfaces, and expresses the special zeta value almost exclusively in terms of inner geometric invariants such as higher Chow groups (motivic cohomology groups). Moreover we compare our formula with Geisser's formula for the same zeta value in terms of Weil-étale motivic cohomology groups, and as a consequence we obtain some presentations of weight two Weil-étale motivic cohomology groups in terms of higher Chow groups and unramified cohomology groups under the conjectures of Lichtenbaum and Parshin. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 17, 号 4, p. 419-453, 発行日 2011-03-29 |
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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 | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
14C25(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
19F27(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
11G25(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14F20(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2010-08-02 |