Local fields

Cover of: Local fields |

Published by Springer-Verlag in New York .

Written in English

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Subjects:

  • Homology theory,
  • Local fields (Algebra)

Edition Notes

Includes bibliographical references (p. 232-237) and index.

Book details

StatementJean-Pierre Serre ; translated from the French by Marvin Jay Greenberg.
SeriesGraduate texts in mathematics ;, 67
Classifications
LC ClassificationsQA247 .S4613 1995
The Physical Object
Paginationviii, 241 p. ;
Number of Pages241
ID Numbers
Open LibraryOL893394M
ISBN 100387904247
LC Control Number95184019

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The goal of this book is to present local class field theory from the cohomo­ logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field.4/4(1).

The goal of this book is to present local class field theory from the cohomo- logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a /5(7).

In mathematics, a Local fields book (-dimensional) local field is an important example of a complete discrete valuation fields are also sometimes called multi-dimensional local fields.

On the usual local fields (typically completions of number fields or the quotient fields of local rings of algebraic curves) there is a unique surjective discrete valuation (of rank 1) associated to a choice of.

The goal of this book is to present local class field theory from the cohomo­ logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate.

This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field.

The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field.

For example, such fields are obtained by completing an algebraic number field; that. Corps Locaux by Jean-Pierre Serre, originally published in and translated into English as Local Fields by Marvin Jay Greenberg inis a seminal graduate-level algebraic number theory text covering local fields, ramification, group cohomology, and local class field book's Local fields book goal is to present local class field theory from the cohomological point of view.

The goal of this book is to present local class field theory from the cohomo­ logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finiteBrand: Springer-Verlag New York.

This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields.

After a general introduction, attention centres on the p-adic numbers and their use in number theory. About Copperfield's Books We have never forgotten our roots as a local independent bookseller, committed to supporting the local communities we serve.

From author events, book clubs to book fairs, Copperfield’s has been committed to literature, education, and community. Local Quantum Physics: Fields, Particles, Algebras (Theoretical and Mathematical Physics) 2nd.

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This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. Local Fields and Their Extensions I.B. Fesenko and S.V. Vostokov Second Edition Introduction to the Second Edition The class of discrete valuation fields appears to be next in significance and order This book is devoted to local fields, i.e.

complete discrete valuation fields with. Quantum field theory is the result of the combination of classical field theory, quantum mechanics, and special relativity.: xi A brief overview of these theoretical precursors is in order.

The earliest successful classical field theory is one that emerged from Newton's law of universal gravitation, despite the complete absence of the concept of fields from his treatise Philosophiæ.

Local class field theory is a theory of abelian extensions of so-called local fields, typical examples of which are the p-adic number fields. This book is an introduction to that theory. Historically, local class field theory branched off from global, or classical,Cited by:   Local Fields by J. Cassels,available at Book Depository with free delivery worldwide.5/5(1).

I am currently studying Local Fields from Serre's textbook, but finding that it requires a bit too much prior knowledge for me. Can anyone suggest another book that I can use alongside Serre that m. Search the world's most comprehensive index of full-text books. My library. But title is Local fields.

Some classification: Every local field is isomorphic (as a topological field) to one of the following: Archimedean local fields (characteristic zero): the real numbers $\mathbb{R}$, and the complex numbers $\mathbb{C}$.

Non-archimedean local fields of characteristic zero: finite extensions of the p-adic numbers. Global fields of finite characteristic; p 7. Local fields; p 8. Number fields at primes where cd=2; p 9.

Real number fields at the prime 2; p 10 The K-theory of Z; p References (this is file) This book grew like Topsy. This online publication provides access to both the full and concise versions of the MARC 21 Format for Bibliographic "full" bibliographic format contains detailed descriptions of every data element, along with examples, input conventions, and history sections.

The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a /5(7).

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The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker–Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology.

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