Galois Cohomology
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Galois Cohomology
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Author : Jean-Pierre Serre
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Galois Cohomology written by Jean-Pierre Serre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.
An Introduction To Galois Cohomology And Its Applications
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Author : Grégory Berhuy
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-09
An Introduction To Galois Cohomology And Its Applications written by Grégory Berhuy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Mathematics categories.
This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
Galois Theory And Cohomology Of Commutative Rings
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Author : Stephen Urban Chase
language : en
Publisher: American Mathematical Soc.
Release Date : 1969
Galois Theory And Cohomology Of Commutative Rings written by Stephen Urban Chase and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Commutative rings categories.
Galois Cohomology Of Algebraic Number Fields
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Author : Klaus Haberland
language : en
Publisher:
Release Date : 1978
Galois Cohomology Of Algebraic Number Fields written by Klaus Haberland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Algebraic fields categories.
Cohomological Invariants In Galois Cohomology
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Author : Skip Garibaldi
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Cohomological Invariants In Galois Cohomology written by Skip Garibaldi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This volume addresses algebraic invariants that occur in the confluence of several important areas of mathematics, including number theory, algebra, and arithmetic algebraic geometry. The invariants are analogues for Galois cohomology of the characteristic classes of topology, which have been extremely useful tools in both topology and geometry. It is hoped that these new invariants will prove similarly useful. Early versions of the invariants arose in the attempt to classify the quadratic forms over a given field. The authors are well-known experts in the field. Serre, in particular, is recognized as both a superb mathematician and a master author. His book on Galois cohomology from the 1960s was fundamental to the development of the theory. Merkurjev, also an expert mathematician and author, co-wrote The Book of Involutions (Volume 44 in the AMS Colloquium Publications series), an important work that contains preliminary descriptions of some of the main results on invariants described here. The book also includes letters between Serre and some of the principal developers of the theory. It will be of interest to graduate students and research mathematicians interested in number th
Abelian Galois Cohomology Of Reductive Groups
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Author : Mikhail Borovoi
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Abelian Galois Cohomology Of Reductive Groups written by Mikhail Borovoi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
In this volume, a new function H 2/ab (K, G) of abelian Galois cohomology is introduced from the category of connected reductive groups G over a field K of characteristic 0 to the category of abelian groups. The abelian Galois cohomology and the abelianization map ab1: H1 (K, G) -- H 2/ab (K, G) are used to give a functorial, almost explicit description of the usual Galois cohomology set H1 (K, G) when K is a number field
Galois Cohomology And Class Field Theory
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Author : David Harari
language : en
Publisher: Springer Nature
Release Date : 2020-06-24
Galois Cohomology And Class Field Theory written by David Harari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-24 with Mathematics categories.
This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory. Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet L-series, including the Čebotarev density theorem. Based on several advanced courses given by the author, this textbook has been written for graduate students. Including complete proofs and numerous exercises, the book will also appeal to more experienced mathematicians, either as a text to learn the subject or as a reference.
Central Simple Algebras And Galois Cohomology
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Author : Philippe Gille
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-10
Central Simple Algebras And Galois Cohomology written by Philippe Gille and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-10 with Mathematics categories.
The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.
Etale Cohomology Theory Revised Edition
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Author : Lei Fu
language : en
Publisher: World Scientific
Release Date : 2015-02-27
Etale Cohomology Theory Revised Edition written by Lei Fu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-27 with Mathematics categories.
Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and ℓ-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.
Modular Forms And Galois Cohomology
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Author : Haruzo Hida
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-29
Modular Forms And Galois Cohomology written by Haruzo Hida and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-29 with Mathematics categories.
Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.