The Brauer group and indecomposable (2,1)-cycles
Algebraic Geometry
2019-02-20 v3
Abstract
We show that the torsion in the group of indecomposable -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 . We derive a new insight into Roitman's theorem on torsion -cycles over a surface.
Cite
@article{arxiv.1401.0791,
title = {The Brauer group and indecomposable (2,1)-cycles},
author = {Bruno Kahn},
journal= {arXiv preprint arXiv:1401.0791},
year = {2019}
}
Comments
Final version, to appear in Compositio Math