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Geometric Methods in the Algebraic Theory of Quadratic Forms : Summer School, Lens, 2000 - Oleg T. Izhboldin

Geometric Methods in the Algebraic Theory of Quadratic Forms

Summer School, Lens, 2000

Paperback

Published: 19th February 2004
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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.

Cohomologie non ramifiee des quadriques
Motives of Quadrics with Applications to the Theory of Quadratic Forms
Motives and Chow Groups of Quadrics with Applications to the u-invariant
Virtual Pfister Neigbors and First Witt Index
Some New Results Concerning Isotropy of Low-dimensional Forms
Izhboldin's Results on Stably Birational Equivalence of Quadrics
My recollections about Oleg Izhboldin
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540207283
ISBN-10: 3540207287
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English , French
Number Of Pages: 198
Published: 19th February 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.14
Weight (kg): 0.3