The Brauer group and indecomposable (2,1)-cycles
Résumé
We show that the torsion in the group of indecomposable (2,1)-cycles on a smooth projective variety over an algebraically closed field is isomorphic to a twist of its Brauer group, away from the characteristic. In particular, this group is infinite as soon as b_2-\rho>0. We derive a new insight into Roitman's theorem on torsion 0-cycles over a surface.
Domaines
Géométrie algébrique [math.AG]
Origine : Fichiers produits par l'(les) auteur(s)