Algebraic cycles and infinitesimal invariants on Jacobian varieties

被引：8

作者：

Ikeda, A ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2003年 / 12卷 / 03期

关键词：

D O I：

10.1090/S1056-3911-03-00360-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the infinitesimal invariant for a family of algebraic cycles on Jacobian varieties, and prove the formula for calculating the infinitesimal invariant. Applying this formula to Jacobian varieties of plane curves, we detect a non-torsion element in the higher Griffiths group, which is a group of algebraic cycles modulo certain algebraic equivalence based on the theory of mixed motives.

引用

页码：573 / 603

页数：31

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[2]

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