Hodge theory of the middle convolution

DOI10.4171/PRIMS/119zbMath1307.14015arXiv1209.4185MaRDI QIDQ2436081

Michael Dettweiler, Claude Sabbah

Publication date: 21 February 2014

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

Full work available at URL: https://arxiv.org/abs/1209.4185

zbMATH Keywords

monodromymiddle convolutionHodge theoryKatz algorithm\(\ell\)-adic representationrigid local systemHodge data

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Ordinary differential equations in the complex domain (34M99) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (13)

Monodromy of the Multiplicative and the Additive Convolution ⋮ Rigid local systems and the multiplicative eigenvalue problem ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Hodge theory of Kloosterman connections ⋮ Calabi-Yau operators of degree two ⋮ Remarks on rigid irreducible meromorphic connections on the projective line ⋮ Rigid Fuchsian systems in 2-dimensional conformal field theories ⋮ Parabolic Degrees and Lyapunov Exponents for Hypergeometric Local Systems ⋮ Tautological systems and free divisors ⋮ Automorphy and irreducibility of some l-adic representations ⋮ On the Hodge theory of the additive middle convolution ⋮ IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS ⋮ Behaviour of some Hodge invariants by middle convolution

Cites Work

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• Potential automorphy and change of weight
• Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
• Rigid local systems and motives of typeG₂. With an appendix by Michale Dettweiler and Nicholas M. Katz
• Rigid irregular connections on ℙ¹

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