On the middle convolution

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We present a cohomological interpretation of the middle convolution functor MC and find an explicit Riemann-Hilbert correspondence for MC_λ. This leads to an algorithm for the construction of Fuchsian systems which correspond to irreducible rigid local systems under the Riemann-Hilbert correspondence. Also, the effect of MC_λon the p-curvatures ist determined and new examples of differential systems are found which satisfy the Grothendieck-Katz p-curvature conjecture.

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Algebraic Geometry, Classical Analysis and ODEs, 34A05; 34M50; 34M35

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http://salesiana.dossiersoluciones.com/handle/123456789/67533

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305311
 http://arxiv.org/abs/math/0305311

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arXiv