Cycles of Codimension 3 on a Projective Quadric

نویسنده

  • N. A. Karpenko
چکیده

Let X be a nonsingular quadratic hypersurface in a projective space over an arb#rary field (of characteristic not two) and let CHPX be a Chow group of codimension p, that is, a group of classes of codimension p cycles on X with respect to rational equivalency. It is proved that torsion in CH 3X is either trivial or is a second order group. Torsion in CHPX, when p ~ 3, was studied earlier in RZhMat 1990, 9 A334 and 10 A389.

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تاریخ انتشار 2004