The action of SL(2) on abelian varieties
Algebraic Geometry
2008-05-13 v1
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 .
Cite
@article{arxiv.0805.1541,
title = {The action of SL(2) on abelian varieties},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:0805.1541},
year = {2008}
}