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A singular Frobenius theorem via elementary arithmetic. (Un théorème de Frobenius singulier via l’arithmétique élémentaire.) (French) Zbl 0901.32025

The authors prove that a holomorphic foliation \({\mathcal F}\) whose tangent cone is irreducible of degree \(p^s\), where \(p\) is a prime number and \(s\) a positive integer, admits an holomorphic prime integral which is nonconstant.

MSC:

32S65 Singularities of holomorphic vector fields and foliations
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