Failures of weak approximation in families

M. J. Bright; T. D. Browning; D. Loughran

doi:10.1112/S0010437X16007405

Failures of weak approximation in families

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

Leiden University
University of Bristol
Institut für Algebra
Leibniz Universitat Hannover

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Pages (from-to)	1435-1475
Number of pages	41
Journal	Compositio Mathematica
Volume	152
Issue number	7
DOIs	https://doi.org/10.1112/S0010437X16007405
Publication status	Published - 1 Jul 2016

Keywords

Brauer-Manin obstruction
fibrations
rational points
sieves
weak approximation

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title = "Failures of weak approximation in families",

abstract = "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.",

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KW - rational points

KW - sieves

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Failures of weak approximation in families

Abstract

Keywords

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