On the Chow Groups of Supersingular Varieties
Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 204-212
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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.
Fakhruddin, Najmuddin. On the Chow Groups of Supersingular Varieties. Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 204-212. doi: 10.4153/CMB-2002-023-5
@article{10_4153_CMB_2002_023_5,
author = {Fakhruddin, Najmuddin},
title = {On the {Chow} {Groups} of {Supersingular} {Varieties}},
journal = {Canadian mathematical bulletin},
pages = {204--212},
year = {2002},
volume = {45},
number = {2},
doi = {10.4153/CMB-2002-023-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-023-5/}
}
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