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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
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
Editor
Autres livres de Leila Schneps
Caractéristiques techniques
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 |
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