Irregular Hodge filtration of hypergeometric systems

Abstract: We determine the irregular Hodge filtration of some one-dimensional hypergeometric D-modules, we prove that general GKZ systems underlie irregular mixed Hodge modules and extend the definition of the Fourier-Laplace transform to integrable mixed twistor D-modules. 

Researchers: Alberto Castaño, Th.  Reichelt (Heidelberg), Ch. Sevenheck (TU Chemnitz) 

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iMAT research line:   RL11. Algebra, Geometry and Topology