Principe local-global pour les corps de fonctions sur des corps locaux supérieurs I

Diego Izquierdo

doi:10.1016/j.jnt.2015.05.005

Principe local-global pour les corps de fonctions sur des corps locaux supérieurs I

Diego Izquierdo

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Let K be the function field of a smooth projective curve X over a higher-dimensional local field k. We give examples and counter-examples to the local-global principle for central simple algebras over K, which is an important hypothesis for having Poitou-Tate exact sequences for tori over K.

langue originale	Français
Pages (de - à)	250-270
Nombre de pages	21
journal	Journal of Number Theory
Volume	157
Les DOIs	https://doi.org/10.1016/j.jnt.2015.05.005
état	Publié - 1 déc. 2015

mots-clés

Arithmetic duality
Brauer group
Central simple algebras
Function fields
Higher-dimensional local fields
Local-global principle
Tate-Shafarevich group

Accès au document

10.1016/j.jnt.2015.05.005

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

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title = "Principe local-global pour les corps de fonctions sur des corps locaux sup{\'e}rieurs I",

abstract = "Let K be the function field of a smooth projective curve X over a higher-dimensional local field k. We give examples and counter-examples to the local-global principle for central simple algebras over K, which is an important hypothesis for having Poitou-Tate exact sequences for tori over K.",

keywords = "Arithmetic duality, Brauer group, Central simple algebras, Function fields, Higher-dimensional local fields, Local-global principle, Tate-Shafarevich group",

author = "Diego Izquierdo",

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year = "2015",

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AB - Let K be the function field of a smooth projective curve X over a higher-dimensional local field k. We give examples and counter-examples to the local-global principle for central simple algebras over K, which is an important hypothesis for having Poitou-Tate exact sequences for tori over K.

KW - Arithmetic duality

KW - Brauer group

KW - Central simple algebras

KW - Function fields

KW - Higher-dimensional local fields

KW - Local-global principle

KW - Tate-Shafarevich group

UR - https://www.scopus.com/pages/publications/84936851669

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