Some new results on the Chowgroups of quadrics
Markus Rost · 2001
We work in the category of Chow-motives over a field F (Char F 6= 2) (see e.g. [ Fulton; Intersection Theory, § 16 ]). For a motive M = (X, p) let CHk(M) = p∗(CHk(X)), where CHk(X) is the group of k-dimensional cycles modulo rational equivalence. We denote by L = (P , p) the Tate motive and by L its i-th power. For a quadratic form φ over F we denote by Xφ the corresponding projective quadric (dimXφ = dimφ− 2) and by Xφ its associated Chow-motive.