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Browsing by Subject "Fuchsian differential equations"

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    Item type:Article, Access status: Open Access ,
    Monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities
    (Wydawnictwa AGH, 2022) Adachi, Shunya
    We study the monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities. The moduli space of our monodromy representations can be realized by certain affine cubic surface. In this paper we characterize the irreducible monodromies having the non-degenerate invariant Hermitian forms in terms of that cubic surface. The explicit forms of invariant Hermitian forms are also given. Our result may bring a new insight into the study of the Painlevé differential equations.