On the Griffiths group of the cubic sevenfold
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We prove that the Griffiths group of 3-cycles homologous to zero modulo algebraic equivalence, on a generic hypersurfaces of dimension 7 and degree 3 is not finitely generated, even when tensored with Q. Using this and a result of Nori, we give examples of varieties for which some Griffiths group is not finitely generated (modulo torsion) but whose corresponding intermediate Jacobian is trivial.
Keywords
Cite
@article{arxiv.alg-geom/9308001,
title = {On the Griffiths group of the cubic sevenfold},
author = {Alberto Albano and Alberto Collino},
journal= {arXiv preprint arXiv:alg-geom/9308001},
year = {2008}
}
Comments
12 pages, AmSTeX 2.1