Articoli correlati a Local Fields: 067
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
One Local Fields (Basic Facts).- I Discrete Valuation Rings and Dedekind Domains.- II Completion.- Two Ramification.- III Discriminant and Different.- IV Ramification Groups.- V The Norm.- VI Artin Representation.- Three Group Cohomology.- VII Basic Facts.- VIII Cohomology of Finite Groups.- IX Theorems of Tate and Nakayama.- X Galois Cohomology.- XI Class Formations.- Four Local Class Field Theory.- XII Brauer Group of a Local Field.- XIII Local Class Field Theory.- XIV Local Symbols and Existence Theorem.- XV Ramification.- Supplementary Bibliography for the English Edition.
Product Description
Book by Serre JeanPierre
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer Verlag
- Data di pubblicazione1980
- ISBN 10 0387904247
- ISBN 13 9780387904245
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine256
- Contatto del produttorenon disponibile
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Local Fields
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Condizione: Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. Außen: verschmutzt, angestoßen. Innen: Seiten eingerissen, Seiten verschmutzt, Geknickt. | Seiten: 256 | Sprache: Englisch | Produktart: Bücher. Codice articolo 1542638/3
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Local Fields (Graduate Texts in Mathematics, 67, Band 67)
Da: Studibuch, Stuttgart, Germania
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hardcover. Condizione: Befriedigend. 249 Seiten; 9780387904245.4 Gewicht in Gramm: 1. Codice articolo 826937
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Edizione Internazionale
Local Fields
Editore:
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1980
ISBN 10: 0387904247
ISBN 13: 9780387904245
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Da: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
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Soft cover. Condizione: New. Condizione sovraccoperta: 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. Codice articolo ABE-8228255353
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Edizione Internazionale
Local Fields
Editore:
Springer, New York, NY, 1980
ISBN 10: 0387904247
ISBN 13: 9780387904245
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Da: Aideo Books, San Marino, CA, U.S.A.
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Trade paperback. Condizione: 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. Codice articolo K3440000130
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Graduate Texts in Mathematics: Local Fields (Volume 67)
Da: Anybook.com, Lincoln, Regno Unito
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Condizione: 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. Codice articolo 9898504
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Local Fields (Graduate Texts in Mathematics, 67)
Da: Grey Matter Books, Hadley, MA, U.S.A.
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Hardcover. Condizione: Very Good. Vg+, clean inside, sturdy crisp binding, excellent copy. Codice articolo 004711
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Local Fields: v. 67 (Graduate Texts in Mathematics)
Da: Fireside Bookshop, Stroud, GLOS, Regno Unito
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Local Fields
Print on DemandDa: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Buch. Condizione: 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. Codice articolo 9780387904245
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Local Fields
Editore:
Springer New York, Springer US Jan 1980, 1980
ISBN 10: 0387904247
ISBN 13: 9780387904245
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Rilegato
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Buch. Condizione: 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. Codice articolo 9780387904245
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Local Fields (Graduate Texts in Mathematics, 67)
Da: Ria Christie Collections, Uxbridge, Regno Unito
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Condizione: New. In. Codice articolo ria9780387904245_new
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