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 Izv. Akad. Nauk SSSR Ser. Mat., 1985, Volume 49, Issue 4, Pages 705–718 (Mi izv2388)

On systems with regular singularities, and their solutions

V. A. Golubeva

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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English version:
Mathematics of the USSR-Izvestiya, 1986, 27:1, 27–38

Bibliographic databases:

UDC: 517.589
MSC: Primary 58A17; Secondary 81C30, 32B30

Citation: V. A. Golubeva, “On systems with regular singularities, and their solutions”, Izv. Akad. Nauk SSSR Ser. Mat., 49:4 (1985), 705–718; Math. USSR-Izv., 27:1 (1986), 27–38

Citation in format AMSBIB
\Bibitem{Gol85} \by V.~A.~Golubeva \paper On systems with regular singularities, and their solutions \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1985 \vol 49 \issue 4 \pages 705--718 \mathnet{http://mi.mathnet.ru/izv2388} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=806681} \zmath{https://zbmath.org/?q=an:0601.58007|0589.58001} \transl \jour Math. USSR-Izv. \yr 1986 \vol 27 \issue 1 \pages 27--38 \crossref{https://doi.org/10.1070/IM1986v027n01ABEH001163}