Holonomic Systems

DOI10.1007/978-3-319-52842-7_2zbMath1408.34069OpenAlexW4253481318MaRDI QIDQ4644992

Yoshishige Haraoka

Publication date: 9 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52842-7_2

zbMATH Keywords

monodromymiddle convolutionFuchsian equationregular holonomic systemrigid local system

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (1)

Multiplicative middle convolution for KZ equations

Cites Work

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• Topological theory for Selberg type integral associated with rigid Fuchsian systems
• Fractional calculus of Weyl algebra and Fuchsian differential equations
• On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• Study of a special class Pfaffian systems of Fuchs type on the complex projective space.
• Equations différentielles à points singuliers réguliers
• Rigidity of monodromies for Appell's hypergeometric functions
• Un théorème de Zariski du type de Lefschetz
• On the Fundamental Group of an Algebraic Curve
• Rigid Local Systems. (AM-139)
• Middle convolution and deformation for Fuchsian systems
• An algorithm of Katz and its application to the inverse Galois problem.

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