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arXiv · 0805.1541

The action of SL(2) on abelian varieties

Arnaud Beauville
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Abstract

We show that the algebraic group SL(2) acts on any polarized abelian variety A through correspondences. As a consequence we recover the action of SL(2) on the Chow group CH(A) (with rational coefficients), and this gives rise to Lefschetz type properties for algebraic cycles on A .

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Arnaud Beauville. 2008-05-11. The action of SL(2) on abelian varieties. https://arxiv.org/abs/0805.1541

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