Work

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

Year: 2024

Type: article

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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.12994

Author: Federico Scavia

Institutions: Centre National de la Recherche Scientifique, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4402711656

FWCI:

Cites: 18

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Related to: 10