A new proof of a theorem of A. Khovanskii

Guy Casale (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We present a proof of the fact that the monodromy group of a Liouvillian function is almost solvable. The first proof of this theorem was given by A. Khovanskii.

Mots clés: Differential Equations; Monodromy; Algebraic pseudogroup

Domaines: Systèmes dynamiques [math.DS]

Guy Casale. A new proof of a theorem of A. Khovanskii. Journal of Dynamical and Control Systems, 2012, 18 (4), pp.449-454. ⟨10.1007/s10883-012-9153-4⟩. ⟨hal-00752047⟩