| On the generalized Riemann-Hilbert problem with irregular singularities (2004) | |||||||||||||
Abstract | |||||||||||||
| We give sufficient conditions, on data including the monodromy representation, the Stokes matrices and the Poincaré rank at prescribed singularities, to solve the generalized Riemann-Hilbert problem with irregular singularities. We recover in particular the irreducibility condition on the monodromy given by Bolibrukh and Kostov in the classical case. We apply these criteria to solve the inverse problem in differential Galois theory with a better control of the singularities. | |||||||||||||
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