{ "id": "math/0208179", "version": "v1", "published": "2002-08-23T08:50:38.000Z", "updated": "2002-08-23T08:50:38.000Z", "title": "Zero cycles on generic hypersurfaces of large degree", "authors": [ "Najmuddin Fakhruddin" ], "categories": [ "math.AG" ], "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.", "revisions": [ { "version": "v1", "updated": "2002-08-23T08:50:38.000Z" } ], "analyses": { "keywords": [ "generic hypersurface", "large degree", "zero cycles", "ample line bundle", "distinct points" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......8179F" } } }