2012/01/05 by Claire Voisin, Voisin, Claire
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #math.AG
paper · pdf · doi:10.48550/arxiv.1201.1072
A few typos corrected
arxiv created 2012/01/16 · arxiv updated 2012/01/17
We study for rationally connected varieties X the group of degree 2 integral homology classes on X 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.