Printer Friendly

The algebraic and geometric theory of quadratic forms.


The algebraic and geometric theory of quadratic forms.

Elman, Richard et al.

American Mathematical Society


435 pages



Colloquium publications; v.56


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.

([c]20082005 Book News, Inc., Portland, OR)
COPYRIGHT 2008 Book News, Inc.
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2008 Gale, Cengage Learning. All rights reserved.

Article Details
Printer friendly Cite/link Email Feedback
Publication:SciTech Book News
Article Type:Book review
Date:Dec 1, 2008
Previous Article:Weathered crust elution-deposited rare earth ores.
Next Article:Borel equivalence relations; structure and classification.

Terms of use | Copyright © 2017 Farlex, Inc. | Feedback | For webmasters