Geodesic
Topology of Complements of Hyperplane Arrangements and Isomonodromic Deformations of Fuchsian Systems
Informatics and Automation, 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. 
@article{TRSPY_2009_267_a14,
     author = {V. P. Leksin},
     title = {Topology of {Complements} of {Hyperplane} {Arrangements} and {Isomonodromic} {Deformations} of {Fuchsian} {Systems}},
     journal = {Informatics and Automation},
     pages = {198--203},
     publisher = {mathdoc},
     volume = {267},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2009_267_a14/}
}
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V. P. Leksin. Topology of Complements of Hyperplane Arrangements and Isomonodromic Deformations of Fuchsian Systems. Informatics and Automation, Singularities and applications, Tome 267 (2009), pp. 198-203. http://geodesic.mathdoc.fr/item/TRSPY_2009_267_a14/