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Examples of hypergeometric twistor $\mathcal{D}$-modules (1803.04886v3)
Published 13 Mar 2018 in math.AG
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.