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A remark on the canonical decomposition of a connection at an irregular singular point

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Publication:1858619
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DOI10.1007/BF02941675zbMath1009.12004MaRDI QIDQ1858619

Yanyan Li

Publication date: 13 February 2003

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)


zbMATH Keywords

integrable connectionLevelt-Turretin decompositionMalgrange's theorem


Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Differential algebra (12H05)




Cites Work

  • Unnamed Item
  • Lemmes de Hensel pour les opérateurs différentiels. Application à la reduction formelle des équations différentielles
  • Differential equations with polynomial coefficients
  • Jordan decomposition for a class of singular differential operators
  • Meromorphic connections. II: The canonic grid
  • Equations différentielles à points singuliers réguliers
  • Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
  • De Rham cohomology of differential modules on algebraic varieties


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