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)

DOI10.1016/0021-8693(89)90300-1zbMath0703.11064OpenAlexW1973800546MaRDI QIDQ915778

Jean-Claude Douai

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90300-1

zbMATH Keywords

finite groupsdualityTate-Poitou theorem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (2)

Degeneration of surfaces and Hasse principle ⋮ Local duality for 2-dimensional local ring

Cites Work

• Class field theory for curves over local fields
• Arithmetic on two dimensional local rings
• Algebraic K-theory and classfield theory for arithmetic surfaces
• Duality theorems for curves over p-adic fields
• Cohomology of abelian varieties over function fields
• 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
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