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Motives of Quadrics with Applications to the Theory of Quadratic Forms

  • Alexander VishikEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1835)

Abstract

This text is the notes of my lectures at the mini-course “Méthodes géométriques en théorie des formes quadratiques” at the Université d’Artois, Lens, June 26-28, 2000. However, some extra material is added. I tried to make the material more accessible for the reader. So, complicated technical proofs are presented in a separate section. Applications are discussed in the last two sections. In particular, splitting patterns of quadratic forms of odd dimension ≤21 or of even dimension ≤12 are determined in the last section.

Keywords

Quadratic Form Direct Summand Chow Group Splitting Pattern Tate Motive 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Institute for Information Transmission Problems R.A.SMoscowRussia

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