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arXiv · 1612.03489

Chow Groups of Abelian Varieties and Beilinson's Conjecture

Bogdan Zavyalov
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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 $\otimes\Q$ has finite dimensional span.

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Bogdan Zavyalov. 2016-12-11. Chow Groups of Abelian Varieties and Beilinson's Conjecture. https://arxiv.org/abs/1612.03489

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