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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 198–203 (Mi tm2605)  

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
References:
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
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 190–194
DOI: https://doi.org/10.1134/S0081543809040154
Bibliographic databases:
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
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\paper Topology of Complements of Hyperplane Arrangements and Isomonodromic Deformations of Fuchsian Systems
\inbook Singularities and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
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\vol 267
\pages 198--203
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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