Articles liés à Local Fields
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This text on local fields covers such topics as ramification theory, group cohomology, local class field theory and basic results on discrete valuation rings.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer-Verlag New York Inc.
- Date d'édition1980
- ISBN 10 0387904247
- ISBN 13 9780387904245
- ReliureRelié
- Langueanglais
- Numéro d'édition1
- Nombre de pages241
- Coordonnées du fabricantnon disponible
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Local Fields
Edité par
Springer New York, 1995
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
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Etat : Gut. Zustand: Gut | Seiten: 256 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 1542638/3
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Local Fields (Graduate Texts in Mathematics, 67, Band 67)
Edité par
Springer, 1980
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Ancien ou d'occasion
Couverture rigide
Vendeur : Studibuch, Stuttgart, Allemagne
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hardcover. Etat : Befriedigend. 249 Seiten; 9780387904245.4 Gewicht in Gramm: 1. N° de réf. du vendeur 826937
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Edition internationale
Local Fields
Edité par
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1980
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Neuf
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Soft cover. Etat : New. Etat de la jaquette : New. 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 go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. N° de réf. du vendeur ABE-8228255353
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Edition internationale
Local Fields
Edité par
Springer, New York, NY, 1980
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Neuf
Trade paperback
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Trade paperback. Etat : 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. N° de réf. du vendeur K3440000130
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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
Ancien ou d'occasion
Couverture rigide
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Etat : 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. N° de réf. du vendeur 9898504
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Local Fields (Graduate Texts in Mathematics, 67)
Edité par
Springer, 1980
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Ancien ou d'occasion
Couverture rigide
Vendeur : Grey Matter Books, Hadley, MA, Etats-Unis
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Local Fields: v. 67 (Graduate Texts in Mathematics)
Edité par
Springer, 1979
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Ancien ou d'occasion
Couverture rigide
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Local Fields
Edité par
Springer New York Jan 1980, 1980
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 256 pp. Englisch. N° de réf. du vendeur 9780387904245
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Local Fields (Graduate Texts in Mathematics, 67)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Local Fields
Edité par
Springer New York, Springer US Jan 1980, 1980
ISBN 10 : 0387904247
ISBN 13 : 9780387904245
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 256 pp. Englisch. N° de réf. du vendeur 9780387904245
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