Le théorème de tate - poitou pour les corps de fonctions des courbes définies sur les corps de séries formelles en une variable sur un corps algébriquement clos

DOI10.1080/00927878708823542zbMath0651.12008OpenAlexW1240397604MaRDI QIDQ3795752

Jean-Claude Douai

Publication date: 1987

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878708823542

zbMATH Keywords

Galois cohomologydualityone variable function fieldquasi-finite fieldtheorem of Tate and Poitou

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class field theory (11R37) Galois cohomology (11R34) Algebraic functions and function fields in algebraic geometry (14H05) Power series rings (13J05)

Related Items (4)

Le théorème de Tate-Poitou pour les corps de fonctions des courbes définies sur les corps locaux de dimension N. (The Tate-Poitou theorem for function fields of curves defined over local fields of dimension N) ⋮ Quantum measurement and the Aharonov-Bohm effect with superposed magnetic fluxes ⋮ Degeneration of surfaces and Hasse principle ⋮ A Hasse principle for function fields over PAC fields

Cites Work

• Algebraic K-theory and classfield theory for arithmetic surfaces
• Duality theorems for curves over p-adic fields
• Cohomology of abelian varieties over function fields
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