Geometric Methods in the Algebraic Theory of Quadratic Forms

Name: Geometric Methods in the Algebraic Theory of Quadratic Forms
SKU: 2794844
Price: 170.99 AUD
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Summer School, Lens, 2000

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Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields with u-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.

Release date Australia

February 19th, 2004

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Contributor

Edited by Jean-Pierre Tignol

Illustrations

XIV, 198 p.

Pages

198

Series

Lecture Notes in Mathematics

Dimensions

156x234x11

ISBN-13

9783540207283

Product ID

2794844

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Geometric Methods in the Algebraic Theory of Quadratic Forms

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