A remark on the generalized Franchetta conjecture for K3 surfaces - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Mathematische Zeitschrift Année : 2022

A remark on the generalized Franchetta conjecture for K3 surfaces

Résumé

A family of K3 surfaces X ---> B has the Franchetta property if the Chow group of 0-cycles on the generic fiber is cyclic. The generalized Franchetta conjecture proposed by O'Grady asserts that the universal family X(g) ---> F(g) of polarized K3 surfaces of degree 2g-2 has the Franchetta property. It has been proved for small g by Pavic, Shen and Yin, but the general case seems out of reach. We prove here that for all g there is a hypersurface in F(g) such that the corresponding family has the Franchetta property.

Dates et versions

hal-03068154 , version 1 (15-12-2020)

Identifiants

Citer

Arnaud Beauville. A remark on the generalized Franchetta conjecture for K3 surfaces. Mathematische Zeitschrift, 2022, 300 (4), pp.3337-3340. ⟨10.1007/s00209-021-02759-x⟩. ⟨hal-03068154⟩
29 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More