Galois Groups and Fundamental Groups / Edition 1

Galois Groups and Fundamental Groups / Edition 1

by Leila Schneps
     
 

ISBN-10: 0521808316

ISBN-13: 9780521808316

Pub. Date: 07/01/2003

Publisher: Cambridge University Press

Eight expository articles by well-known authors of the theory of Galois groups and fundamental groups focus on 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

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Overview

Eight expository articles by well-known authors of the theory of Galois groups and fundamental groups focus on 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.

Product Details

ISBN-13:
9780521808316
Publisher:
Cambridge University Press
Publication date:
07/01/2003
Series:
Mathematical Sciences Research Institute Publications Series, #41
Edition description:
New Edition
Pages:
482
Product dimensions:
2.28(w) x 9.21(h) x 1.26(d)

Related Subjects

Table of Contents

Introduction; 1. Monodromy groups of coverings of curves Robert Guralnik; 2. On the tame fundamental groups of curves over algebraically closed fields of characteristic > 0 Akio Tamagawa; 3. On the specialization homomorphism of fundamental groups of curves in positive characteristic Florian Pop and Mohamed Saïdi; 4. Topics surrounding the anabelian geometry of hyperbolic curves Shinichi Mochizuki; 5. Monodromy of elliptic surfaces Fedor Bogomolov and Yuri Tschinkel; 6. Tannakian fundamental groups associated to Galois groups Richard Hain and Makoto Matsumoto; 7. Special loci in moduli spaces of curves Leila Schneps; 8. Cellulation of compactified Hurwitz spaces Michel Imbert; 9. Patching and Galois theory David Harbater; 10. Constructive differential Galois theory B. Heinrich Matzat and Marius van der Put.

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