On globally nilpotent differential equations

DOI10.1016/j.jde.2010.02.009zbMath1202.34151arXivmath/0605383OpenAlexW2034024796MaRDI QIDQ984894

Stefan Reiter, Michael Dettweiler

Publication date: 20 July 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605383

zbMATH Keywords

middle convolutionOkubo normal formFuchsian systemsglobally nilpotent differential equations

Mathematics Subject Classification ID

Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Cites Work

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• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Reduction modulo \(p\) of differential equations
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Equations différentielles à points singuliers réguliers
• Rigid Local Systems. (AM-139)
• An example of an arithmetic Fuchsian group.
• An algorithm of Katz and its application to the inverse Galois problem.
• Grothendieck's conjecture for the Risch equation \(y'=ay+b\)

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