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Formes Quadratiques Sur Un Corps

Posted on 2010-03-16




Name:Formes Quadratiques Sur Un Corps
ASIN/ISBN:2856292615
Language:English
File size:1.4 Mb
Publish Date: 2009
ISBN: 2856292615
Pages: 303 pages
File Type: PDF
File Size: 1,4 MB
Other Info: Société Mathématique de France /
   Formes Quadratiques Sur Un Corps

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Bruno Kahn, ""

This book presents the theory of quadratic forms over a field, focusing on the Pfister-Arason-Knebusch technique of extensions to function fields of quadrics.

Contents:

La théorie de Witt

La théorie de Pfister

Corps de fonctions de quadriques

La théorie de Knebusch

Formes devenant isotropes sur le corps des fonctions d'une quadrique

Invariants élémentaires

Le théorème de réduction d'indice et ses applications

Formes de basse dimension

Invariants supérieurs

Descente

Rappels sur le groupe de Brauer

Rappels de cohomologie galoisienne

Courbes algébriques

Un aperçu sur les formes quadratiques en caractéristique 2

Formes quadratiques et cycles algébriques

Solutions de certains exercices

Bibliographie

Glossaire

Index

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