Galois Groups and Fundamental Groups

Leila Schneps

480 pages, parution le 18/09/2003

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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

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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	PAPIER
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