English

Zero cycles on generic hypersurfaces of large degree

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0208179,
  title  = {Zero cycles on generic hypersurfaces of large degree},
  author = {Najmuddin Fakhruddin},
  journal= {arXiv preprint arXiv:math/0208179},
  year   = {2007}
}
R2 v1 2026-07-22T16:47:14.552Z