Progress in Mathematics

Arithmetic and Geometry Around Galois Theory

Editors: Dèbes, P., Emsalem, M., Romagny, M., Uludağ, A.M. (Eds.)

  • Provides the current states of affairs in geometric Galois theory in a number of lecture notes and survey papers
  • Includes introductory lecture notes on stacks
  • Establishes connections of Galois theory with moduli problems ​  
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About this book

This Lecture Notes volume is the fruit of two research-level summer schools jointly organized by the GTEM node at Lille University and the team of Galatasaray University (Istanbul):  "Geometry and Arithmetic of Moduli Spaces of Coverings (2008)" and "Geometry and Arithmetic around Galois Theory (2009)". The volume focuses on geometric methods in Galois theory. The choice of the editors is to provide a complete and comprehensive account of modern points of view on Galois theory and related moduli problems, using stacks, gerbes and groupoids. It contains lecture notes on étale fundamental group and fundamental group scheme, and moduli stacks of curves and covers. Research articles complete the collection.​  

Table of contents (10 chapters)

  • Algebraic Stacks with a View Toward Moduli Stacks of Covers

    Bertin, José

    Pages 1-148

  • Models of Curves

    Romagny, Matthieu

    Pages 149-170

  • Galois Categories

    Cadoret, Anna

    Pages 171-246

  • Fundamental Groupoid Scheme

    Emsalem, Michel

    Pages 247-286

  • Extension of Galois Groups by Solvable Groups, and Application to Fundamental Groups of Curves

    Borne, Niels

    Pages 287-304

Buy this book

eBook £67.99
price for United Kingdom (gross)
  • ISBN 978-3-0348-0487-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £85.50
price for United Kingdom (gross)
  • ISBN 978-3-0348-0486-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover £85.50
price for United Kingdom (gross)
  • ISBN 978-3-0348-0790-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic and Geometry Around Galois Theory
Editors
  • Pierre Dèbes
  • Michel Emsalem
  • Matthieu Romagny
  • A. Muhammed Uludağ
Series Title
Progress in Mathematics
Series Volume
304
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0487-5
DOI
10.1007/978-3-0348-0487-5
Hardcover ISBN
978-3-0348-0486-8
Softcover ISBN
978-3-0348-0790-6
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XII, 404
Topics