Geodesic
Torsion codimension $2$ cycles on supersingular abelian varieties
Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 458-466

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DOI

We prove that torsion codimension $2$ algebraic cycles modulo rational equivalence on supersingular abelian varieties are algebraically equivalent to zero. As a consequence, we prove that homological equivalence coincides with algebraic equivalence for algebraic cycles of codimension $2$ on supersingular abelian varieties over the algebraic closure of finite fields.
DOI : 10.4153/S0008439522000431
Mots-clés : Griffiths group, supersingular abelian variety, Chow group 
Gregory, Oliver. Torsion codimension $2$ cycles on supersingular abelian varieties. Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 458-466. doi: 10.4153/S0008439522000431
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     title = {Torsion codimension $2$ cycles on supersingular abelian varieties},
     journal = {Canadian mathematical bulletin},
     pages = {458--466},
     year = {2023},
     volume = {66},
     number = {2},
     doi = {10.4153/S0008439522000431},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000431/}
}
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