Weak approximation for isotrivial families

Details Weak approximation for isotrivial families Weak approximation for isotrivial families

2010-03-18

arxiv.org/abs/1003.3502v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We study weak approximation for isotrivial families of rationally connected varieties over a smooth projective curve. In the case where the family is formed by taking a quotient of a cyclic group action, we find a necessary and sufficient condition for weak approximation to hold. In most other cases, there is also a sufficient condition. We also check that this condition is satisfied for all smooth Fano hypersurfaces in projective spaces.

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