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<図書>
The algebraic and geometric theory of quadratic forms

責任表示 Richard Elman, Nikita Karpenko, Alexander Merkurjev
シリーズ Colloquium publications / American Mathematical Society ; v. 56
データ種別 図書
出版者 Providence, R.I. : American Mathematical Society
出版年 c2008
本文言語 英語
大きさ viii, 435 p. : ill. ; 26 cm
概要 This study of the algebraic theory of quadratic forms includes results and proofs that have never been published. The book is written from the point of view of algebraic geometry and includes coverage...of the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic-independent whenever possible. For some results, both classical and geometric proofs are given. Part I covers classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents additional topics from algebraic geometry, including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a geometric theory of quadratic forms. Author information is not given. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 続きを見る

所蔵情報


理系図3F 数理独自 023212008002848 SER/CP/56 2008

書誌詳細

一般注記 Includes bibliographical references (p. 421-426) and indexes
著者標目 *Elman, Richard S., 1945-
Karpenko, Nikita, 1966-
Merkurjev, Alexander, 1955-
件 名 LCSH:Bilinear forms
LCSH:Forms, Quadratic
LCSH:Geometry, Algebraic
分 類 LCC:QA243
DC22:512.7/4
書誌ID 1001244604
ISBN 9780821843291
NCID BA86582945
巻冊次 ISBN:9780821843291
登録日 2009.09.18
更新日 2009.11.02

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