Vector bundles associated with monodromies and asymptotics of Fuchsian systems

DOI10.1007/BF02254640zbMath0943.34079MaRDI QIDQ1972689

A. A. Bolibrukh

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

singularitiesmonodromyholomorphic vector bundleasymptotics of solutionsFuchsian system

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Ordinary differential equations on complex manifolds (34M45)

Related Items (4)

A systematic study on matrix models for Chern-Simons-matter theories ⋮ Apparent singularities of Fuchsian equations and the Painlevé property for Garnier systems ⋮ Some addition to the generalized Riemann-Hilbert problem ⋮ Apparent singularities of Fuchsian equations, the Painlevé VI equation, and Garnier systems

Cites Work

• On the number of apparent singularities of a linear differential equation
• Das Riemann-Hilbertsche Problem der Theorie der linearen Differentialgleichungen
• Construction of a Fuchsian equation from a monodromy representation
• Vector bundles on complex projective spaces
• Equations différentielles à points singuliers réguliers
• The Riemann-Hilbert problem
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