Failures of weak approximation in families
classification
🧮 math.NT
math.AG
keywords
approximationweakbrauer-maninconditionsdetermineeverywherefailuresfamilies
read the original 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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