An infinitesimal approach to the study of cycles on abelian varieties

被引：0

作者：

Marini, Giambattista ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dept Math, Via Ric Sci, I-00133 Rome, Italy

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2021年 / 23卷 / 04期

关键词：

Abelian variety; algebraic cycles; Bloch's conjecture; Beauville's conjecture; Chow group; Chow ring; rational equivalence;

D O I：

10.1142/S0219199720500418

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a work in progress on Bloch's conjecture asserting the vanishing of the Pontryagin product of a p codimensional cycle on an abelian variety by p + 1 zero cycles of degree zero. We prove an infinitesimal version of the conjecture and we discuss in particular, the case of 3-dimensional cycles.

引用

页数：16

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