an:00683122
Zbl 0803.14022
Albano, A.; Collino, A.
On the Griffiths group of the cubic sevenfold
EN
Math. Ann. 299, No. 4, 715-726 (1994).
00022644
1994
j
14J40 14K30 14C15 14C30
intermediate Jacobian; not finitely generated Griffiths group; Griffiths group of a general cubic sevenfold
In this paper we prove that the Griffiths group of a general cubic sevenfold is not finitely generated, even when tensored with \(\mathbb{Q}\). Using this result and a theorem of Nori, we provide examples of varieties which have some Griffiths group not finitely generated but whose corresponding intermediate Jacobian is trivial.
A.Albano (Torino)