A-analyticity of separatricies of foliations
arxiv(2024)
Abstract
Let X be a smooth quasi-projective surface over a number field K, and let
L be a foliation on X. We prove that if L is closed under p-th powers
for almost all primes p, then any L-invariant smooth formal curve is
A-analytic. Building on prior work of Bost we obtain an algebraicity
criterion for those curves.
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