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# On the Chow Groups of Supersingular Varieties

Published:2002-06-01
Printed: Jun 2002
• Najmuddin Fakhruddin
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## Abstract

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.
 MSC Classifications: 14C25 - Algebraic cycles 14K99 - None of the above, but in this section

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