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

DOI10.1112/JLMS.12994MaRDI QIDQ6641558

Federico Scavia

Publication date: 20 November 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Complex multiplication and abelian varieties (14K22) Algebraic cycles (14C25) Algebraic theory of abelian varieties (14K05) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

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• \(p\)-adic étale cohomology
• Rigidité des groupes de Chow. (Rigidity of the Chow groups)
• On extremal rational elliptic surfaces
• On certain exterior product maps of Chow groups
• The coniveau filtration and non-divisibility for algebraic cycles
• Complex varieties for which the Chow group\(\mod n\) is not finite
• Complex Multiplication Cycles and a Conjecture of Beilinson and Bloch
• Sur les séries $L$ d'une variété algébrique
• The Arithmetic of Elliptic Curves
• On the image of the 𝑙-adic Abel-Jacobi map for a variety over the algebraic closure of a finite field
• On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field
• Nondivisible cycles on products of very general Abelian varieties
• Complex varieties with infinite Chow groups modulo 2

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