Weak approximation for rationally connected varieties over
        function fields of curves
-- Brendan Hassett

<p>

 Let B be a smooth complex curve and X a variety smooth and
proper over C(B).  Graber-Harris-Starr have shown that if X is
geometrically rationally connected then X(C(B)) is nonempty.
Building on work of Koll&aacute;r-Miyaoka-Mori and others, we
show that X satisfies weak approximation at places of good
reduction.  We will also discuss what is known at places of bad
reduction for special classes of varieties, like cubic
surfaces.  (joint with Yuri Tschinkel)

<p>

<a href=http://www.math.rice.edu/~hassett/papers.html>
http://www.math.rice.edu/~hassett/papers.html
</a>