Tate Duality in Positive Dimension over Function Fields

DOI10.1090/memo/1444arXiv1805.00522OpenAlexW2798354487MaRDI QIDQ6070013

Zev Rosengarten

Publication date: 20 November 2023

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00522

zbMATH Keywords

Poitou-Tate dualityfinite commutative group schemesfinite discrete Galois modules

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Étale and other Grothendieck topologies and (co)homologies (14F20) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02)

Related Items (1)

Rigid inner forms over local function fields

Cites Work

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• Poitou-Tate without restrictions on the order
• Nombres de Tamagawa et groupes unipotents en caractéristique p
• Versal deformations and algebraic stacks
• Basic number theory.
• Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem
• Théoremes de finitude en cohomologie galoisienne
• Algebraic spaces
• Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Arithmetic of algebraic tori
• Deux théorèmes d'arithmétique
• TOPOLOGY ON COHOMOLOGY OF LOCAL FIELDS
• Algebraic Groups
• Rational Points on Varieties
• On p-Torsion in Etale Cohomology and in the Brauer Group
• Some theorems on azumaya algebras
• Un théorème d'annulation pour certains $E{\rm xt}^i$ de faisceaux abéliens
• Weak convergence of summation processes in Besov spaces
• Stable modification of relative curves
• Pseudo-reductive Groups
• Finiteness theorems for algebraic groups over function fields
• On a nontrivial higher extension of representable abelian sheaves
• On seminormality

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