Cohomology and torsion cycles over the maximal cyclotomic extension

DOI10.1515/crelle-2016-0070zbMath1422.11142arXiv1506.01270OpenAlexW2963581241MaRDI QIDQ2001381

Damien Roessler, Tamás Szamuely

Publication date: 3 July 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01270

zbMATH Keywords

Chow groupsarithmetic ground fieldsètale cohomogy

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) (Equivariant) Chow groups and rings; motives (14C15)

Related Items

ON THE ESSENTIAL TORSION FINITENESS OF ABELIAN VARIETIES OVER TORSION FIELDS ⋮ Cohomology of algebraic varieties over the maximal cyclotomic extension of a global field

Cites Work

• Controlling the Galois images in one-dimensional families of \(\ell\)-adic representations
• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
• \(K_2\)-cohomology and the second Chow group
• Torsion dans le groupe de Chow de codimension deux
• Finiteness theorems for abelian varieties over number fields.
• Endomorphisms and torsion of Abelian varieties
• Torsion in \(K_ 2\) of fields
• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion)
• Relations between \(K_2\) and Galois cohomology
• Galois Cohomology
• Generalized additive bases, König's lemma, and the Erdős--Turán conjecture
• Serre's tame inertia conjecture
• Good reduction of abelian varieties
• Galois properties of points of finite order of elliptic curves
• Rational points of Abelian varieties with values in towers of number fields
• WEIGHTS OF SIMPLE LIE ALGEBRAS IN THE COHOMOLOGY OF ALGEBRAIC VARIETIES
• Construction de représentations $p$-adiques
• A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions
• p-Adic Hodge Theory
• The rank of abelian varieties over infinite Galois extensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item