Mathematical Research Letters

Volume 16 (2009)

Number 6

Smash-nilpotent cycles on abelian $3$-folds

Pages: 1007 – 1010

DOI: http://dx.doi.org/10.4310/MRL.2009.v16.n6.a8

Authors

Bruno Kahn (Institut de Mathématiques de Jussieu)

Ronnie Sebastian (Tata Institute of Fundamental Research)

Abstract

We show that homologically trivial algebraic cycles on a $3$-dimensional abelian variety are smash-nilpotent.

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