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Arithmetic and Geometry Around Galois Theory
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Arithmetic and Geometry Around Galois Theory ([Ebook]) / edited by Pierre Dèbes, Michel Emsalem, Matthieu Romagny, A. Muhammed Uludağ.
Author
Dèbes, Pierre
Added Personal Name
Emsalem, Michel
Romagny, Matthieu
Uludag, A. Muhammed
Other name(s)
SpringerLink (Online service)
Publication
Basel : Birkhäuser
, 2013.
Physical Details
XI, 401 pages: 198 illus., 8 illus. in color. : online resource.
Series
Progress in mathematics
; 304
ISBN
9783034804875
Summary Note
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.:
Contents note
Preface -- J. Bertin: Algebraic stacks with a view toward moduli stacks of covers -- M. Romagny: Models of curves -- A. Cadoret: Galois categories:- M. Emsalem. Fundamental groupoid scheme -- N. Borne: Extension of Galois groups by solvable groups, and application to fundamental groups of curves -- M.A. Garuti: On the "Galois closure" for finite morphisms -- J.-C. Douai: Hasse Principle and Cohomology of Groups -- Z. Wojtkowiak: Periods of mixed Tate motives, examples, l-adic side -- L. Bary-Soroker and E. Paran: On totally ramified extensions of discrete valued fields -- R.-P. Holzapfel and M. Petkova: An Octahedral Galois-Reflection Tower of Picard Modular Congruence Subgroups.
System details note
Online access to this digital book is restricted to subscription institutions and access is available through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-0348-0487-5
Links to Related Works
Subject References:
Algebraic Geometry
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Field Theory and Polynomials
.
Field theory (Physics)
.
Galois theory
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Geometry, Algebraic
.
Group theory
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Group Theory and Generalizations
.
Mathematics
.
Authors:
Dèbes, Pierre
.
editor
.
Emsalem, Michel
.
Romagny, Matthieu
.
Uludag, A. Muhammed
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Progress in mathematics
.
Classification:
516.35
.
516.35 (DDC 23)
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.
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