Picard 1-motives and Tate sequences for function fields

DOI10.5802/jtnb.1180zbMath1486.11111OpenAlexW4210557570MaRDI QIDQ2073995

Cristian D. Popescu, Cornelius Greither

Publication date: 3 February 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jtnb.1180

zbMATH Keywords

Galois module structureTate sequencesétale, crystalline, and Weil-étale cohomologyPicard \(1\)-motives

Mathematics Subject Classification ID

Geometric class field theory (11G45) Curves over finite and local fields (11G20) Varieties over finite and local fields (11G25) (p)-adic cohomology, crystalline cohomology (14F30) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Abstract \(\ell\)-adic 1-motives and Tate's canonical class for number fields
• On the values of equivariant zeta functions of curves over finite fields
• Non-commutative \(L\)-functions for \(p\)-adic representations over totally real fields
• Théorie de Hodge. III
• Equivariant Iwasawa theory and non-abelian Stark-type conjectures
• An Equivariant Main Conjecture in Iwasawa theory and applications
• The Galois Module Structure of ℓ-adic Realizations of Picard 1-motives and Applications
• On Galois structure invariants associated to Tate motives
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields

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