Remarks on curve classes on rationally connected varieties

Details Remarks on curve classes on rationally connected varieties Remarks on curve classes on rationally connected varieties

2012-01-05

arxiv.org/abs/1201.1072v2

Mathematics

Algebraic Geometry

A few typos corrected

Scientific paper

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.

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