On the Hodge theory of the additive middle convolution

DOI10.4171/PRIMS/56-3-3zbMath1441.14040arXiv1809.06080MaRDI QIDQ783767

Michael Dettweiler, Stefan Reiter

Publication date: 4 August 2020

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/1809.06080

zbMATH Keywords

middle convolutionHodge theory

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)

Cites Work

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• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Erratum to: ``Hodge theory of the middle convolution.
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• \(E_1\)-degeneration of the irregular Hodge filtration
• Hodge theory of the middle convolution
• Equations différentielles à points singuliers réguliers
• The classification of orthogonally rigid $G_2$-local systems and related differential operators
• Rigid local systems and motives of typeG₂. With an appendix by Michale Dettweiler and Nicholas M. Katz
• An explicit stationary phase formula for the local formal Fourier-Laplace transform
• Rigid Local Systems. (AM-139)
• Mixed Hodge modules

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