On the Griffiths group of the cubic sevenfold

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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.
12 pages, AmSTeX 2.1

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/149829

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9308001
 http://arxiv.org/abs/alg-geom/9308001

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arXiv