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SOME NEW EXAMPLES OF SMASH-NILPOTENT ALGEBRAIC CYCLES

Part of: Surfaces and higher-dimensional varieties Cycles and subschemes Abelian varieties and schemes

Published online by Cambridge University Press:  13 March 2017

ROBERT LATERVEER
ROBERT LATERVEER*
Affiliation:
Institut de Recherche Mathématique Avancée, CNRS – Université de Strasbourg, 7 Rue René Descartes, 67084 Strasbourg CEDEX, France e-mail: robert.laterveer@math.unistra.fr
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Abstract

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Voevodsky has conjectured that numerical equivalence and smash-equivalence coincide for algebraic cycles on any smooth projective variety. Building on work of Vial and Kahn–Sebastian, we give some new examples of varieties where Voevodsky's conjecture is verified.

MSC classification

Primary: 14C15: (Equivariant) Chow groups and rings; motives 14C25: Algebraic cycles 14C30: Transcendental methods, Hodge theory , Hodge conjecture
Secondary: 14J30: $3$-folds 14J32: Calabi-Yau manifolds 14K99: None of the above, but in this section
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 3 , September 2017 , pp. 623 - 634
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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