On the Chow Groups of Supersingular Varieties

http://dx.doi.org/10.4153/CMB-2002-023-5
Canad. Math. Bull. 45(2002), 204-212

  Published:2002-06-01
 Printed: Jun 2002

We compute the rational Chow groups of supersingular abelian varieties and some other related varieties, such as supersingular Fermat varieties and supersingular $K3$ surfaces. These computations are concordant with the conjectural relationship, for a smooth projective variety, between the structure of Chow groups and the coniveau filtration on the cohomology.