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On the Chow Groups of Supersingular Varieties

Published online by Cambridge University Press:  20 November 2018

Najmuddin Fakhruddin
Najmuddin Fakhruddin*
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India, e-mail: naf@math.tifr.res.in
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Abstract

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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.

Keywords

14C2514K99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 2 , 01 June 2002 , pp. 204 - 212
Copyright
Copyright © Canadian Mathematical Society 2002

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