The action of SL(2) on abelian varieties

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 .

References in corpus (1)

• Relations between tautological cycles on Jacobians

Cited by in corpus (3)

• Cycles on curves and Jacobians: a tale of two tautological rings
• Smash nilpotent cycles on products of curves
• On Hard Lefschetz Conjecture on Lawson Homology