Failures of weak approximation in families

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  • Authors:
  • M. J. Bright
  • T. D. Browning
  • D. Loughran


Given a family of varieties over a number field, we determine conditions under which there is a Brauer-Manin obstruction to weak approximation for 100% of the fibres which are everywhere locally soluble.

Bibliographical metadata

Original languageEnglish
Pages (from-to)1435-1475
Number of pages41
JournalCompositio Mathematica
Issue number7
Publication statusPublished - 1 Jul 2016