On a question of Colliot-Th\'{e}l\`{e}ne on Chow group mod $n$
Number Theory
2020-04-22 v2 Algebraic Geometry
K-Theory and Homology
Abstract
In this note we define the notion of Tate-Shafarevich group and Selmer group of the Chow group of an abelian variety defined over a number field. In this context we give positive answer to the question of Colliot-Th\'{e}l\`{e}ne that the Chow group of zero cycles modulo is finite over any number field.
Keywords
Cite
@article{arxiv.1906.08233,
title = {On a question of Colliot-Th\'{e}l\`{e}ne on Chow group mod $n$},
author = {Kalyan Banerjee and Kalyan Chakraborty},
journal= {arXiv preprint arXiv:1906.08233},
year = {2020}
}
Comments
21 pages, title and abstract changed, a few typos corrected, comments are welcome