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arXiv · 0908.0626

Algebraic cycles on an abelian variety

Peter O'Sullivan
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Abstract

It is shown that to every Q-linear cycle \barαmodulo numerical equivalence on an abelian variety A there is canonically associated a Q-linear cycle αmodulo rational equivalence on A lying above \barα. The assignment \barα-> αrespects the algebraic operations and pullback and push forward along homomorphisms of abelian varieties.

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Peter O'Sullivan. 2009-08-05. Algebraic cycles on an abelian variety. https://arxiv.org/abs/0908.0626

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