Chow Groups of Abelian Varieties and Beilinson's Conjecture
Algebraic Geometry
2016-12-13 v1 Number Theory
Abstract
In the present paper we introduce the property AA of a subsemigroup of the endomorphism semigroup of an abelian variety, which holds for semigroup of endomorphisms of an abelian variety defined over a number field, and show that the orbit of any cycle under a semigroup with property AA in the Chow group has finite dimensional span.
Keywords
Cite
@article{arxiv.1612.03489,
title = {Chow Groups of Abelian Varieties and Beilinson's Conjecture},
author = {Bogdan Zavyalov},
journal= {arXiv preprint arXiv:1612.03489},
year = {2016}
}