Failures of weak approximation in families
By Martin Bright, Tim D Browning, Daniel Loughran. Compositio Mathematica, 2015
53 citations recorded by the source corpus.
Given a family of varieties $X\rightarrow \mathbb{P}^{n}$ 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.
Subfields: Algebra and Number Theory, Computational Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/e671a3670eee3363fb57339b5efaa26e24d2a8cf
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- Fibrations with few rational points (2015, background): “Examples of families for which the product of local densities has been explicitly computed can be found in [3], [4] and [6].”