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EM
2016

Evidence for the Dynamical Brauer-Manin Criterion

3 years 8 months ago
Evidence for the Dynamical Brauer-Manin Criterion
Let ϕ: X → X be a morphism of a variety over a number field K. We consider local conditions and a “Brauer-Manin” condition, defined by Hsia and Silverman, for the orbit of a point P ∈ X(K) to be disjoint from a subvariety V ⊆ X, i.e., for Oϕ(P) ∩ V = ∅. We provide evidence that the dynamical Brauer-Manin condition is sufficient to explain the lack of points in the intersection Oϕ(P) ∩ V ; this evidence stems from a probabilistic argument as well as unconditional results in the case of ´etale maps.
Ekaterina Amerik, Pär Kurlberg, Khoa D. Nguye
Added 02 Apr 2016
Updated 02 Apr 2016
Type Journal
Year 2016
Where EM
Authors Ekaterina Amerik, Pär Kurlberg, Khoa D. Nguyen, Adam Towsley, Bianca Viray, José Felipe Voloch
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