Examples of hypergeometric twistor $\mathcal{D}$-modules

Alberto Casta\~no Dom\'inguez; Christian Sevenheck; Thomas Reichelt

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arxiv 1803.04886 v3 pith:D7NINX4P submitted 2018-03-13 math.AG

Examples of hypergeometric twistor $\mathcal{D}$-modules

Alberto Casta\~no Dom\'inguez , Thomas Reichelt , Christian Sevenheck This is my paper

classification math.AG

keywords moduleshodgehypergeometricirregularmathcaltwistoralgebraiccategory

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abstract

We show that certain one-dimensional hypergeometric differential systems underlie objects of the category of irregular mixed Hodge modules, which was recently introduced by Sabbah, and compute the irregular Hodge filtration for them. We also provide a comparison theorem between two different types of Fourier-Laplace transformation for algebraic integrable twistor $\mathcal{D}$-modules.

Examples of hypergeometric twistor $\mathcal{D}$-modules

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