Approximation at places of bad reduction
Algebraic Geometry
2007-05-23 v1
Abstract
This paper addresses weak approximation for rationally connected varieties defined over the function field of a curve, especially at places of bad reduction. Our approach entails analyzing the rational connectivity of the smooth locus of singular reductions of the variety. As an application, we prove weak approximation for cubic surfaces with square-free discriminant.
Cite
@article{arxiv.math/0605274,
title = {Approximation at places of bad reduction},
author = {Brendan Hassett and Yuri Tschinkel},
journal= {arXiv preprint arXiv:math/0605274},
year = {2007}
}