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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1980 Volume 44, Issue 5, Pages 979–998 (Mi im1948)

This article is cited in 9 papers

On the recovery of a Pfaffian system of Fuchsian type from the generators of the monodromy group

V. A. Golubeva


Abstract: From relations of the fundamental group $\pi_1(C^n-L)$ the author obtains commutation relations for the coefficient matrices of a Pfaffian system of Fuchsian type in $C^n$, with manifold of singularities on the union of a finite number of hyperplanes $L$. Expansions of the coefficient matrices in powers of the logarithms of the generators of the monodromy group are given under the condition that these matrices are close to the identity.
Bibliography: 30 titles.

UDC: 517.94

MSC: Primary 34A20, 58A17, 32L05; Secondary 32A30, 30E25

Received: 05.04.1979


 English version:
Mathematics of the USSR-Izvestiya, 1981, 17:2, 227–241

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