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On Some Topological Properties of Fourier Transforms of Regular Holonomic ${\mathcal{D}}$-Modules
Published online by Cambridge University Press: 06 January 2020
Abstract
We study Fourier transforms of regular holonomic ${\mathcal{D}}$-modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic ${\mathcal{D}}$-modules will be given. Moreover, we give a new proof of the classical theorem of Brylinski and improve it by showing its converse.
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- © Canadian Mathematical Society 2019
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