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Zero cycles on generic hypersurfaces of large degree

Najmuddin Fakhruddin
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Abstract

We show that given a smooth projective variety X over C with dim(X) > 2, an ample line bundle O(1) on X and an integer n > 1, any n distinct points on a generic hypersurface of degree d in X are linearly independent in CH_0(X) if d >> 0. This generalizes a result of C. Voisin.

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Najmuddin Fakhruddin. 2002-08-23. Zero cycles on generic hypersurfaces of large degree. https://arxiv.org/abs/math/0208179

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