Smash nilpotent cycles on products of curves

Ronnie Sebastian

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Smash nilpotent cycles on products of curves

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arxiv 1207.7344 v2 pith:HVJNLXM6 submitted 2012-07-31 math.AG

Smash nilpotent cycles on products of curves

Ronnie Sebastian This is my paper

classification math.AG

keywords cyclessmashcurvesnilpotentvarietyabelianarbitrarycoincide

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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.

Smash nilpotent cycles on products of curves

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