Geodesic
On deformations of linear differential systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 1, pp. 63-105 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article concerns deformations of meromorphic linear differential systems. Problems relating to their existence and classification are reviewed, and the global and local behaviour of solutions to deformation equations in a neighbourhood of their singular set is analysed. Certain classical results established for isomonodromic deformations of Fuchsian systems are generalized to the case of integrable deformations of meromorphic systems. Bibliography: 40 titles.
Keywords: holomorphic bundle, meromorphic connection, integrability
Mots-clés : monodromy, Painlevé property, isomonodromic deformation. 
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R. R. Gontsov; V. A. Poberezhnyi; G. F. Helminck. On deformations of linear differential systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 1, pp. 63-105. http://geodesic.mathdoc.fr/item/RM_2011_66_1_a2/

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