Weak approximation and rationally connected varieties over function fields of curves
Algebraic Geometry
2010-08-17 v1
Abstract
This is a survey of weak approximation over complex function fields, touching on the Koll'ar-Miyaoka-Mori theorem, places of good and bad reduction, the special case of rational surfaces, rationally simply connected varieties, and applications to low-degree complete intersections.
Keywords
Cite
@article{arxiv.1008.2711,
title = {Weak approximation and rationally connected varieties over function fields of curves},
author = {Brendan Hassett},
journal= {arXiv preprint arXiv:1008.2711},
year = {2010}
}
Comments
49 pages; based on lectures given in Strasbourg in May 2008 at the Session Etats de la Recherche "Vari'et'es rationnellement connexes : aspects g'eom'etriques et arithm'etiques"