Información General

• Autores: Leila Schneps (coord.)
• Editores: Cambridge University Press
• Año de publicación: 2003
• Colecciones: Mathematical Sciences Research Institute publications, 41
• País: Estados Unidos
• Idioma: inglés
• ISBN: 0-521-80831-6
• Texto completo no disponible (Saber más ...)

Resumen

• 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.

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Listado de artículos

• • Monodromy Groups of Coverings of Curves

    Robert M. Guralnick

    págs. 1-46

    

  • On the Tame Fundamental Groups of Curves over Algebraically Closed Fields of Characteristic > 0

    Akio Tamagawa

    págs. 47-105

    

  • On the Specialization Homomorphism of Fundamental Groups of Curves in Positive Characteristic

    Florin Pop, Mohamed Saïdi

    págs. 107-118

    

  • Topics Surrounding the Anabelian Geometry of Hyperbolic Curves

    Shinichi Mochizuki

    págs. 119-165

    

  • Monodromy of Elliptic Surfaces

    Fedor Bogomolov, Yuri Tschinkel

    págs. 167-181

    

  • Tannakian Fundamental Groups Associated to Galois Groups

    Richard Hain, Makoto Matsumoto

    págs. 183-216

    

  • Special Loci in Moduli Spaces of Curves

    Leila Schneps

    págs. 217-275

    

  • Cellulation of Compactified Hurwitz Spaces

    Michel Imbert

    págs. 277-312

    

  • Patching and Galois Theory

    David Harbater

    págs. 313-424

    

  • Constructive Differential Galois Theory

    Bernd Heinrich Matzat, M. van der Put

    págs. 425-467