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arXiv · 1906.08233

On a question of Colliot-Th\'{e}l\`{e}ne on Chow group mod $n$

Kalyan Banerjee·Kalyan Chakraborty
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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 $n$ is finite over any number field.

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Kalyan Banerjee, Kalyan Chakraborty. 2019-06-19. On a question of Colliot-Th\'{e}l\`{e}ne on Chow group mod $n$. https://arxiv.org/abs/1906.08233

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