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Smash nilpotent cycles on varieties dominated by products of curves

Part of: Abelian varieties and schemes Cycles and subschemes

Published online by Cambridge University Press:  28 June 2013

Ronnie Sebastian
Ronnie Sebastian*
Affiliation:
Humboldt Universität zu Berlin, Institut für Mathematik, Rudower Chaussee 25, 10099 Berlin, Germany email ronnie.sebastian@gmail.com
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Abstract

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Voevodsky conjectured that numerical equivalence and smash equivalence coincide on a smooth projective variety. We prove the conjecture for 1-cycles on varieties dominated by products of curves.

Keywords

algebraic cyclessmash nilpotenceabelian varieties

MSC classification

Secondary: 14C15: (Equivariant) Chow groups and rings; motives 14C25: Algebraic cycles 14K12: Subvarieties
Type
Research Article
Information
Compositio Mathematica , Volume 149 , Issue 9 , September 2013 , pp. 1511 - 1518
Copyright
© The Author(s) 2013 

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