On the number of apparent singularities (Q2644816)

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On the number of apparent singularities
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    On the number of apparent singularities (English)
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    1990
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    The existence of a Fuchsian linear differential equation of order n on a closed Riemann surface M which has a given representation \(\rho\) as its monodromy representation is proved without the assumption that \(\rho\) is semi-simple and an estimate for the number of apparent singularities is obtained.
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    Fuchsian linear differential equation
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    closed Riemann surface
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    monodromy representation
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    estimate for the number of apparent singularities
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