#### DOCUMENTA MATHEMATICA, Vol. 1 (1996), 57-65

Nikita A. Karpenko

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

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

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