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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 198–203
(Mi tm2605)
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Topology of Complements of Hyperplane Arrangements and Isomonodromic Deformations of Fuchsian Systems
V. P. Leksin Chair of Algebra and Geometry, Kolomna State Pedagogical Institute, Kolomna, Moscow oblast, Russia
Abstract:
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.
Received in June 2008
Citation:
V. P. Leksin, “Topology of Complements of Hyperplane Arrangements and Isomonodromic Deformations of Fuchsian Systems”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 198–203; Proc. Steklov Inst. Math., 267 (2009), 190–194
Linking options:
https://www.mathnet.ru/eng/tm2605 https://www.mathnet.ru/eng/tm/v267/p198
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Abstract page: | 265 | Full-text PDF : | 70 | References: | 62 |
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