Displaying similar documents to “Une application de la méthode de Fraenkel-Mostowski”

Moduli spaces for linear differential equations and the Painlevé equations

Marius van der Put, Masa-Hiko Saito (2009)

Annales de l’institut Fourier

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A systematic construction of isomonodromic families of connections of rank two on the Riemann sphere is obtained by considering the analytic Riemann–Hilbert map R H : ℳ → ℛ , where ℳ is a moduli space of connections and ℛ , , is a moduli space for analytic data (, ordinary monodromy, Stokes matrices and links). The assumption that the fibres of R H (, the isomonodromic families) have dimension one, leads to ten moduli spaces ℳ . The induced Painlevé equations are computed explicitly. Except for the...