Coniveau spectral sequence and motivic cohomology of quadrics and classifying spaces, by Nobuaki Yagita

We study the coniveau spectral sequence for classifying spaces of algebraic groups and quadrics defined by Pfister forms. In particular, we can explicitly show the motivic cohomologies of the anisotropic quadrics over R the field of real numbers, and see that their coniveau spectral sequences collapse from E_2-term.


Nobuaki Yagita <yagita@mx.ibaraki.ac.jp>