Local duality for 2-dimensional local ring

DOI10.1007/s12044-008-0040-6zbMath1184.13071OpenAlexW2026804594MaRDI QIDQ732832

Belgacem Draouil

Publication date: 15 October 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-008-0040-6

zbMATH Keywords

purityHasse principlelocal dualitycurves over higher local fields

Mathematics Subject Classification ID

Class field theory; (p)-adic formal groups (11S31) Local rings and semilocal rings (13H99)

Cites Work

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• 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)
• Torsion dans le groupe de Chow de codimension deux
• Class field theory for curves over local fields
• Imbedding of an abstract variety in a complete variety
• On the arithmetic of local rings of dimension 2 and 3
• Finiteness theorems in the class field theory of varieties over local fields.
• Theory of tubular neighborhood in étale topology
• A Hasse principle for two dimensional global fields.

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