Artículos relacionados a Local Fields: 67 (Graduate Texts in Mathematics, 67)
Sinopsis
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 is one of the aspects of "localisation". The chapters are grouped in "parts". There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their "globalisation") and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the "norm" map is studied; I have expressed the results in terms of "additive polynomials" and of "multiplicative polynomials", since using the language of algebraic geometry would have led me too far astray.
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Reseña del editor
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 is one of the aspects of "localisation". The chapters are grouped in "parts". There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their "globalisation") and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the "norm" map is studied; I have expressed the results in terms of "additive polynomials" and of "multiplicative polynomials", since using the language of algebraic geometry would have led me too far astray.
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Local Fields
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Secaucus, New Jersey, U.S.A.: Springer Verlag, 1980
ISBN 10: 0387904247
ISBN 13: 9780387904245
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Local Fields
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Springer, New York, NY, 1980
ISBN 10: 0387904247
ISBN 13: 9780387904245
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Trade paperback. Condición: New in new dust jacket. First edition. INTERNATIONAL EDITION. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 246 p. Graduate Texts in Mathematics, 67. Audience: General/trade. Nº de ref. del artículo: K3440000130
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Local Fields (Graduate Texts in Mathematics, 67)
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Local Fields 67 Graduate Texts
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Local Fields (Graduate Texts in Mathematics, 67)
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Local Fields
Publicado por
Springer-Verlag, New York, NY, 1979
ISBN 10: 0387904247
ISBN 13: 9780387904245
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Librería: Black Cat Hill Books, Oregon City, OR, Estados Unidos de America
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Hardcover. Condición: Very Good. First American Edition; First Printing. First English Language Edition (1979) ; First Printing (unstated). Very Good: shows mild wear to the corner tips and with crimp to the heel of the back-strip; a small 'ding' to the top edge of the front panel; very mild rubbing to the panels and a hint of soiling therefrom; the binding is square and secure; the text is clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A carefully used copy, structurally sound and tightly bound, showing light wear and minor, unobtrusive cosmetic imperfections. NOT a Remainder, Book-Club, or Ex-Library. Large 8vo (9.5 x 6.3x 0.65 inches). Translated from the French by Marvin J. Greenberg. Language: English. Weight: 19.5 Ounces. Yellow and white Boards with black and yellow titles at the front panel and back-strip. First published in French (undated). Hardcover: No DJ as issued. 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. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their "globalisation") and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). ; Graduate Texts in Mathematics; Vol. 67; Large 8vo 9" - 10" tall; viii, 241 pages. Nº de ref. del artículo: 59384
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Graduate Texts in Mathematics: Local Fields
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Graduate Texts in Mathematics: Local Fields (Volume 67)
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Springer-Verlag, 1979
ISBN 10: 0387904247
ISBN 13: 9780387904245
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Condición: Good. Volume 67. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,650grams, ISBN:0387904247. Nº de ref. del artículo: 9898504
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Local Fields
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