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Arithmétique des Revêtements Algébriques: Actes du Colloque de Saint-Étienne
Edited by: B. Deschamps, Université Jean Monnet, St. Etienne, France
A publication of the Société Mathématique de France.
Séminaires et Congrès
2002; 214 pp; softcover
Number: 5
ISBN-10: 2-85629-116-3
ISBN-13: 978-2-85629-116-0
List Price: US$56
Member Price: US$44.80
Order Code: SECO/5
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This book presents articles from the conference on algebraic coverings held in March 2000 in St. Etienne (France). The goal of the conference was to introduce the algebraic bases of this theory and to give a survey of the research tools. These proceedings reflect the spirit of the conference.

The book includes widely accessible survey and research papers on a range of topics, including inverse Galois theory, moduli spaces, problems of descent, rigid geometry, the language of stacks and gerbs and its applications, Galois modules, and morphisms of curves. There is also an appendix with a short lecture on topological and algebraic covers that will make a good introduction to the subject for the non-specialist.

The volume is intended for advanced graduate students and researchers. It would make a nice addition to a seminar on algebraic coverings.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Advanced graduate students and researchers interested in algebra and algebraic geometry.

Table of Contents

  • P. Dèbes -- Thèorie de Galois et géométrie: une introduction
  • P. Dèbes -- Méthodes topologiques et analytiques en théorie inverse de Galois: Théorème d'existence de Riemann
  • Q. Liu -- Une mini introduction à la géométrie analytique rigide
  • M. Emsalem -- Espaces de Hurwitz
  • S. Flon -- Corps des modules et bonnes places
  • J.-C. Douai -- Descente, champs et gerbes de Hurwitz
  • Ph. Satgé -- Morphismes d'une courbe de genre \(2\) vers une courbe de genre \(1\)
  • N. Borne -- Modules galoisiens sur les courbes: une introduction
  • P. Dèbes -- Annexe: Revêtements topologiques
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