Geodesic
On systems with regular singularities, and their solutions
Izvestiya. Mathematics , Tome 27 (1986) no. 1, pp. 27-38

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In this article two problems are solved. 1. It is shown that there exists an exponential representation for the fundamental matrix of a Pfaffian system on $C^n$ with regular singularities on a reducible algebraic submanifold $L$. 2. Let there be given on an algebraic manifold $X$ a function $f(x)$ of the Nilsson class with branch manifold $L\subset X$. It is shown that in a neighborhood of an ordinary point or of a point of normal intersection of components of $L$ the function $f(x)$ generates a $\mathscr D_X$-module with regular singularities on $L$. Bibliography: 28 titles. 
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     author = {V. A. Golubeva},
     title = {On systems with regular singularities, and their solutions},
     journal = {Izvestiya. Mathematics },
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     volume = {27},
     number = {1},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1986_27_1_a1/}
}
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V. A. Golubeva. On systems with regular singularities, and their solutions. Izvestiya. Mathematics , Tome 27 (1986) no. 1, pp. 27-38. http://geodesic.mathdoc.fr/item/IM2_1986_27_1_a1/