Remarks on curve classes on rationally connected varieties
Algebraic Geometry
2012-01-17 v2
Abstract
We study for rationally connected varieties the group of degree 2 integral homology classes on modulo those which are algebraic. We show that the Tate conjecture for divisor classes on surfaces defined over finite fields implies that this group is trivial for any rationally connected variety.
Cite
@article{arxiv.1201.1072,
title = {Remarks on curve classes on rationally connected varieties},
author = {Claire Voisin},
journal= {arXiv preprint arXiv:1201.1072},
year = {2012}
}
Comments
A few typos corrected