Order of torsion in CH⁴ of quadrics

  • Nikita A. Karpenko

    Westfalische Wilhelms-Universitat Mathematisches Institut Einsteinstr. 62 D-48149 Munster, Germany
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It is shown that the order of the torsion subgroup in the 4-codimensional Chow group CH4(Xφ)\mathrm{CH}^4(X_\varphi) of a projective quadric XφX_\varphi is at most 4 provided that the dimension of the corresponding quadratic form φ\varphi is greater than 8.

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Nikita A. Karpenko, Order of torsion in CH4\mathrm{CH}^4 of quadrics. Doc. Math. 1 (1996), pp. 57–65

DOI 10.4171/DM/2