Approximation at places of bad reduction

Details Approximation at places of bad reduction Approximation at places of bad reduction

2006-05-10

arxiv.org/abs/math/0605274v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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