Motives of Quadrics with Applications to the Theory of Quadratic Forms

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


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.


Quadratic Form Direct Summand Chow Group Splitting Pattern Tate Motive 
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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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