Approximation at Places of Bad Reduction for Rationally Connected Varieties
نویسنده
چکیده
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.
منابع مشابه
Weak Approximation over Function Fields
— We prove that rationally connected varieties over the function field of a complex curve satisfy weak approximation for places of good reduction.
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تاریخ انتشار 2005