An Introduction To Galois Cohomology And Its Applications

Author : Grégory Berhuy
Publisher : Cambridge University Press
ISBN 13 : 1139490885
Total Pages : 328 pages
Book Rating : 4.87/5 ( download)

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Download or read book An Introduction to Galois Cohomology and its Applications written by Grégory Berhuy and published by Cambridge University Press. This book was released on 2010-09-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Philippe Gille
Publisher : Cambridge University Press
ISBN 13 : 1107156378
Total Pages : 431 pages
Book Rating : 4.71/5 ( download)

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Download or read book Central Simple Algebras and Galois Cohomology written by Philippe Gille and published by Cambridge University Press. This book was released on 2017-08-10 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.

Author : Philippe Gille
Publisher : Cambridge University Press
ISBN 13 : 1108293670
Total Pages : 432 pages
Book Rating : 4.79/5 ( download)

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Download or read book Central Simple Algebras and Galois Cohomology written by Philippe Gille and published by Cambridge University Press. This book was released on 2017-08-10 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev–Suslin theorem, a culmination of work initiated by Brauer, Noether, Hasse and Albert, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, the text covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi–Brauer varieties, and techniques in Milnor K-theory and K-cohomology, leading to a full proof of the Merkurjev–Suslin theorem and its application to the characterization of reduced norms. The final chapter rounds off the theory by presenting the results in positive characteristic, including the theorems of Bloch–Gabber–Kato and Izhboldin. This second edition has been carefully revised and updated, and contains important additional topics.

Author : Stephen Urban Chase
Publisher : American Mathematical Soc.
ISBN 13 : 0821812521
Total Pages : 87 pages
Book Rating : 4.25/5 ( download)

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Download or read book Galois Theory and Cohomology of Commutative Rings written by Stephen Urban Chase and published by American Mathematical Soc.. This book was released on 1969 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : David Harari
Publisher : Springer Nature
ISBN 13 : 3030439011
Total Pages : 336 pages
Book Rating : 4.19/5 ( download)

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Download or read book Galois Cohomology and Class Field Theory written by David Harari and published by Springer Nature. This book was released on 2020-06-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Sergey Gorchinskiy
Publisher : American Mathematical Soc.
ISBN 13 : 1470440725
Total Pages : 200 pages
Book Rating : 4.25/5 ( download)

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Download or read book Unramified Brauer Group and Its Applications written by Sergey Gorchinskiy and published by American Mathematical Soc.. This book was released on 2018-09-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to arithmetic geometry with special attention given to the unramified Brauer group of algebraic varieties and its most striking applications in birational and Diophantine geometry. The topics include Galois cohomology, Brauer groups, obstructions to stable rationality, Weil restriction of scalars, algebraic tori, the Hasse principle, Brauer-Manin obstruction, and étale cohomology. The book contains a detailed presentation of an example of a stably rational but not rational variety, which is presented as series of exercises with detailed hints. This approach is aimed to help the reader understand crucial ideas without being lost in technical details. The reader will end up with a good working knowledge of the Brauer group and its important geometric applications, including the construction of unirational but not stably rational algebraic varieties, a subject which has become fashionable again in connection with the recent breakthroughs by a number of mathematicians.

Author : Gennady Lybeznik
Publisher : CRC Press
ISBN 13 : 9780824707415
Total Pages : 366 pages
Book Rating : 4.19/5 ( download)

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Download or read book Local Cohomology and Its Applications written by Gennady Lybeznik and published by CRC Press. This book was released on 2001-10-18 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.

Author : Helmut Koch
Publisher : Springer Science & Business Media
ISBN 13 : 3662049678
Total Pages : 196 pages
Book Rating : 4.79/5 ( download)

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Download or read book Galois Theory of p-Extensions written by Helmut Koch and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.

Author : John N. Bray
Publisher : Cambridge University Press
ISBN 13 : 0521138604
Total Pages : 453 pages
Book Rating : 4.04/5 ( download)

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Download or read book The Maximal Subgroups of the Low-Dimensional Finite Classical Groups written by John N. Bray and published by Cambridge University Press. This book was released on 2013-07-25 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.

Author : Robin Chapman
Publisher : Cambridge University Press
ISBN 13 : 1139503685
Total Pages : 447 pages
Book Rating : 4.86/5 ( download)

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Download or read book Surveys in Combinatorics 2011 written by Robin Chapman and published by Cambridge University Press. This book was released on 2011-06-23 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles based on the invited lectures given at the 23rd British Combinatorial Conference, held in July 2011 at the University of Exeter. Each article surveys an area of current research in combinatorial mathematics and will be invaluable to anyone wishing to keep abreast of modern developments.