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arXiv:1008.2711 [math.AG]AbstractReferencesReviewsResources

Weak approximation and rationally connected varieties over function fields of curves

Brendan Hassett

Published 2010-08-16Version 1

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.

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"
Categories: math.AG
Subjects: 14M22, 14G05
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