Algebraic cycles on the generic abelian fourfold with polarization of type (1,2,2,2)

被引：0

作者：

Quinones-Estrella, Russell-Aaron ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Math FB 08, D-55128 Mainz, Germany

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2011年 / 81卷 / 02期

关键词：

Algebraic cycles; Abelian varieties; Griffiths' groups; CURVES; GENUS;

D O I：

10.1007/s12188-011-0062-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct a non-torsion element in the higher Griffiths group Griff(3,2) (A(4)) for the generic abelian fourfold A(4) with polarization of type (1, 2, 2, 2). The key idea is to use the fact that A(4) can be realized as a generalized Prym variety which naturally contains some curves, i.e. dimension 1 cycles.

引用

页码：215 / 236

页数：22

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