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arXiv · 1207.7344

Smash nilpotent cycles on products of curves

Ronnie Sebastian
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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.

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Ronnie Sebastian. 2012-08-01. Smash nilpotent cycles on products of curves. https://arxiv.org/abs/1207.7344

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