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.
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页数：16
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