On the recovery of a~Pfaffian system of Fuchsian type from the generators of the monodromy group
Izvestiya. Mathematics , Tome 17 (1981) no. 2, pp. 227-241
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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.
@article{IM2_1981_17_2_a0,
author = {V. A. Golubeva},
title = {On the recovery of {a~Pfaffian} system of {Fuchsian} type from the generators of the monodromy group},
journal = {Izvestiya. Mathematics },
pages = {227--241},
publisher = {mathdoc},
volume = {17},
number = {2},
year = {1981},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a0/}
}
TY - JOUR AU - V. A. Golubeva TI - On the recovery of a~Pfaffian system of Fuchsian type from the generators of the monodromy group JO - Izvestiya. Mathematics PY - 1981 SP - 227 EP - 241 VL - 17 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a0/ LA - en ID - IM2_1981_17_2_a0 ER -
V. A. Golubeva. On the recovery of a~Pfaffian system of Fuchsian type from the generators of the monodromy group. Izvestiya. Mathematics , Tome 17 (1981) no. 2, pp. 227-241. http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a0/