Geodesic
Pfaffian systems of Fuchs type on a~complex analytic manifold
Sbornik. Mathematics, Tome 32 (1977) no. 1, pp. 98-108

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In this paper we give necessary and sufficient conditions for a completely integrable Pfaffian system with regular singular points on $A$ to be a Fuchsian system, where $A$ is a divisor with normal crossings in a compact Kähler manifold $W^m$. We prove that the condition of being a Fuchsian system is equivalent to the solvability of some first Cousin problem on $W^m$. This condition appears particularly simple when $W^m$ is complex projective space. Bibliography: 12 titles. 
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     author = {A. A. Bolibrukh},
     title = {Pfaffian systems of {Fuchs} type on a~complex analytic manifold},
     journal = {Sbornik. Mathematics},
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     number = {1},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1977_32_1_a5/}
}
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A. A. Bolibrukh. Pfaffian systems of Fuchs type on a~complex analytic manifold. Sbornik. Mathematics, Tome 32 (1977) no. 1, pp. 98-108. http://geodesic.mathdoc.fr/item/SM_1977_32_1_a5/