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Galois Groups and Fundamental Groups

Galois Groups and Fundamental Groups

Leila Schneps

480 pages, parution le 18/09/2003

Résumé

This book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on presenting recent developments, avoiding classical aspects which have already been described at length in the standard literature. The volume grew from the special semester held at the MSRI in Berkeley in 1999 and many of the new results are due to work accomplished during that program. Among the subjects covered are elliptic surfaces, Grothendieck's anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic.
Although the articles contain original results, the authors have striven to make them as introductory as possible, making them accessible to graduate students as well as researchers in algebraic geometry and number theory. The volume also contains a lengthy overview by Leila Schneps that sets the individual articles into the broader context of contemporary research in Galois groups.

Contributors
Fedor Bogomolov, Yuri Tschinkel, Shinichi Mochizuki, Richard Hain, Makoto Matsumoto, Leila Schneps, Akio Tamagawa, B. H. Matzat, Robert Guralnick, Florian Pop, Mohamed Saidi

Contents

  • Introduction
  • Monodromy Groups of Coverings of Curves
  • On the Tame Fundamental Groups of Curves over Algebraically Closed Fields of Characteristic > 0
  • On the Specialization Homomorphism of Fundamental Groups of Curves in Positive Characteristic
  • Topics Surrounding the Anabelian Geometry of Hyperbolic Curves
  • Monodromy of Elliptic Surfaces
  • Tannakian Fundamental Groups Associated to Galois Groups
  • Special Loci in Moduli Spaces of Curves
  • Cellulation of Compactified Hurwitz Spaces
  • Patching and Galois Theory
  • Constructive Differential Galois Theory

L'auteur - Leila Schneps

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Autres livres de Leila Schneps

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Éditeur(s) Cambridge University Press
Auteur(s) Leila Schneps
Parution 18/09/2003
Nb. de pages 480
Format 16 x 24
Couverture Broché
Poids 805g
Intérieur Noir et Blanc
EAN13 9780521808316
ISBN13 978-0-521-80831-6

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