Failures of weak approximation in families

M. J. Bright*, T. D. Browning, D. Loughran

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)
242 Downloads (Pure)

Abstract

Given a family of varieties X → Ρn 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.
Original languageEnglish
Pages (from-to)1435-1475
Number of pages41
JournalCompositio Mathematica
Volume7
Issue number152
Early online date26 Apr 2016
DOIs
Publication statusPublished - 1 Jul 2016

Keywords

  • Brauer–Manin obstruction
  • fibrations
  • rational points
  • sieves
  • weak approximation

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