Nikita A. Karpenko

Order of Torsion in {\rm CH}$^4$ of Quadrics

Abstract

It is shown that the order of the torsion subgroup in the 4-codimensional Chow group $\CH^4(X_\phi)$ of a projective quadric $X_\phi$ is at most 4 provided that the dimension of the corresponding quadratic form $\phi$ is greater than 8.