Smash nilpotent cycles on products of curves
Algebraic Geometry
2012-08-02 v2
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.
Keywords
Cite
@article{arxiv.1207.7344,
title = {Smash nilpotent cycles on products of curves},
author = {Ronnie Sebastian},
journal= {arXiv preprint arXiv:1207.7344},
year = {2012}
}
Comments
14 pages. Corrected a statement in the introduction