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arXiv · 1506.01817

Failures of weak approximation in families

M. Bright·T. D. Browning·D. Loughran
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Abstract

Given a family of varieties $X\to \mathbb{P}^n$ over a number field $k$, 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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M. Bright, T. D. Browning, D. Loughran. 2015-06-05. Failures of weak approximation in families. https://doi.org/10.1112/s0010437x16007405

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