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Abel-Jacobi Equivalence and a Variant of the Beilinson-Hodge Conjecture
http://hdl.handle.net/2261/52398
http://hdl.handle.net/2261/52398c260d264-e1a4-4f26-91c1-e192289add6e
名前 / ファイル | ライセンス | アクション |
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jms170203.pdf (209.4 kB)
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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 | Abel-Jacobi Equivalence and a Variant of the Beilinson-Hodge Conjecture | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Bloch-Beilinson filtration | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | normal function | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Chow group | |||||
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 |
Lewis, James D.
× Lewis, James D. |
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著者所属 | ||||||
著者所属 | University of Alberta | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let X/C be a smooth projective variety and CHr(X) the Chow group of codimension r algebraic cycles modulo rational equivalence. Let us assume the (conjectured) existence of the Bloch-Beilinson filtration {FνCHr(X)⊗Q}r(ν=0) for all such X (and r). If CHr(AJ)(X)⊂CHr(X) is the subgroup of cycles Abel-Jacobi equivalent to zero, then there is an inclusion F2CHr(X)⊗Q⊂CHr(AJ)(X)⊗Q. Roughly speaking we show that this inclusion is an equality for all X (and r) if and only if a certain variant of Beilinson-Hodge conjecture holds for K1. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 17, 号 2, p. 179-199, 発行日 2010-10-26 |
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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 | ||||||
14C30(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14C35(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2009-12-10 |