Weak approximation and rationally connected varieties over function fields of curves

Details Weak approximation and rationally connected varieties over function fields of curves Weak approximation and rationally connected varieties over function fields of curves

2010-08-16

arxiv.org/abs/1008.2711v1

Mathematics

Algebraic Geometry

49 pages; based on lectures given in Strasbourg in May 2008 at the Session Etats de la Recherche "Vari'et'es rationnellement c

Scientific paper

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.

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