Smash nilpotent cycles on products of curves

Abstract

Voevodsky has conjectured that numerical and smash equivalence coincide on a smooth projective variety. We prove the conjecture for one dimensional cycles on an arbitrary product of curves. As a consequence we get that numerically trivial 1-cycles on an abelian variety are smash nilpotent.

14 pages. Corrected a statement in the introduction

References in corpus (1)

• The action of SL(2) on abelian varieties