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Motivic cohomology of quadrics and the coniveau spectral sequence

Published online by Cambridge University Press:  05 November 2010

Nobuaki Yagita
Nobuaki Yagita
Affiliation:
Department of Mathematics, Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan. yagita@mx.ibaraki.ac.jp
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Abstract

We study the coniveau spectral sequence for quadrics defined by Pfister forms. In particular, we explicitly compute the motivic cohomology of anisotropic quadrics over ℝ, by showing that their coniveau spectral sequences collapse from the -term

Keywords

real quadratic formRost's motivemotivic cohomologyconiveau spectral sequence
Type
Research Article
Information
Journal of K-Theory , Volume 6 , Issue 3 , December 2010 , pp. 547 - 589
Copyright
Copyright © ISOPP 2009

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