Motivic cohomology of quadrics and the coniveau spectral sequence

作者：Yagita Nobuaki^*

来源：Journal of K-Theory, 2010, 6(3): 547-589.

DOI：10.1017/is008008012jkt084

• real quadratic form
• Rost's motive
• motivic cohomology
• coniveau spectral sequence

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 E(2)*,*'-term.

• 出版日期2010-12