Items related to Local Fields (Graduate Texts in Mathematics, 67)
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.
"synopsis" may belong to another edition of this title.
Language Notes
Text: English (translation)
Original Language: French
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date1980
- ISBN 10 0387904247
- ISBN 13 9780387904245
- BindingHardcover
- LanguageEnglish
- Number of pages249
- Rating
Other Popular Editions of the Same Title
Search results for Local Fields (Graduate Texts in Mathematics, 67)
International Edition
Local Fields
Published by
Springer, New York, NY, 1980
ISBN 10: 0387904247
ISBN 13: 9780387904245
New
Trade paperback
Seller: Aideo Books, San Marino, CA, U.S.A.
Seller rating 5 out of 5 stars
Trade paperback. Condition: 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. Seller Inventory # K3440000130
Quantity: Over 20 available
International Edition
Local Fields
Published by
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1980
ISBN 10: 0387904247
ISBN 13: 9780387904245
New
Soft cover
Seller: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
Seller rating 5 out of 5 stars
Soft cover. Condition: New. Dust Jacket Condition: 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. Seller Inventory # ABE-8228255353
Quantity: Over 20 available
Stock Image
Local Fields (Graduate Texts in Mathematics, 67)
Seller: Grey Matter Books, Hadley, MA, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Very Good. Vg+, clean inside, sturdy crisp binding, excellent copy. Seller Inventory # 004711
Quantity: 1 available
Stock Image
Local Fields
Seller: TextbookRush, Grandview Heights, OH, U.S.A.
Seller rating 4 out of 5 stars
Condition: Brand New. Ships SAME or NEXT business day. We Ship to APO/FPO addr. Choose EXPEDITED shipping and receive in 2-5 business days within the United States. See our member profile for customer support contact info. We have an easy return policy. Seller Inventory # 54559861
Quantity: 1 available
Stock Image
Graduate Texts in Mathematics: Local Fields
Seller: Moe's Books, Berkeley, CA, U.S.A.
Seller rating 4 out of 5 stars
Hard cover. Condition: Good. No jacket. Book is shelf worn with a smudges on the cover, not affecting legibility. Binding is tight and inside is clean, bright, and unmarked. Seller Inventory # 1141945
Quantity: 1 available
Stock Image
Graduate Texts in Mathematics: Local Fields (Volume 67)
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # 9898504
Quantity: 1 available
Seller Image
Local Fields
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 1512112
Quantity: Over 20 available
Seller Image
Local Fields
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 1512112-n
Quantity: Over 20 available
Seller Image
Local Fields
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 1512112-n
Quantity: Over 20 available
Stock Image
Local Fields (Graduate Texts in Mathematics, 67)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2215580173737
Quantity: Over 20 available