Versal unfolding of irregular singularities of a linear differential equation on the Riemann sphere

DOI10.4171/PRIMS/57-3-6zbMath1498.34237WikidataQ114021400 ScholiaQ114021400MaRDI QIDQ824250

Toshio Oshima

Publication date: 15 December 2021

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

irregular singularityFuchsian singularityconfluence of singularities

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (1)

Riemann-Liouville transform and linear differential equations on the Riemann sphere

Cites Work

• Linear differential equations on the Riemann sphere and representations of quivers
• Fractional calculus of Weyl algebra and Fuchsian differential equations
• Lemmes de Hensel pour les opérateurs différentiels. Application à la reduction formelle des équations différentielles
• On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero
• Semilocal monodromy of rigid local systems
• 4-dimensional Painlevé-type equations
• Linear differential equations on \(\mathbb P^1\) and root systems
• A Classification of Roots of Symmetric Kac-Moody Root Systems and Its Application
• Rigid Local Systems. (AM-139)
• An algorithm of Katz and its application to the inverse Galois problem.

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