Article Dans Une Revue Journal of the London Mathematical Society Année : 2024

Varieties over $\overline{\mathbb {Q}}$ with infinite Chow groups modulo almost all primes

Résumé

Abstract Let be the Fermat cubic curve over . In 2002, Schoen proved that the group is infinite for all primes . We show that is infinite for all prime numbers . This gives the first example of a smooth projective variety over such that is infinite for all but at most finitely many primes . A key tool is a recent theorem of Farb–Kisin–Wolfson, whose proof uses the prismatic cohomology of Bhatt–Scholze.

Dates et versions

hal-05373714 , version 1 (19-11-2025)

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Citer

Federico Scavia. Varieties over $\overline{\mathbb {Q}}$ with infinite Chow groups modulo almost all primes. Journal of the London Mathematical Society, 2024, 110 (4), ⟨10.1112/jlms.12994⟩. ⟨hal-05373714⟩
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