Geometric Methods in the Algebraic Theory of Quadratic Forms : Summer School, Lens, 2000 PDF
by Oleg T. Izhboldin, Bruno Kahn, Nikita A. Karpenko, Alexander Vishik
Edited by Jean-Pierre Tignol
Part of the Lecture Notes in Mathematics series
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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:07/02/2004
- Category:
- ISBN:9783540409908
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:07/02/2004
- Category:
- ISBN:9783540409908
