Geodesic
Topology of Complements of Hyperplane Arrangements and Isomonodromic Deformations of Fuchsian Systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Singularities and applications, Tome 267 (2009), pp. 198-203.

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We consider families of systems of first-order linear differential equations on complex linear spaces that represent the Cherednik variant of the Knizhnik–Zamolodchikov equations. For these families of equations, we prove a rigidity property with respect to a certain class of isomonodromic deformations; i.e., we show the absence of nontrivial special isomonodromic deformations with a movable divisor of singularities. 
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V. P. Leksin. Topology of Complements of Hyperplane Arrangements and Isomonodromic Deformations of Fuchsian Systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Singularities and applications, Tome 267 (2009), pp. 198-203. http://geodesic.mathdoc.fr/item/TM_2009_267_a14/

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