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On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules

Published 24 Jul 2018 in math.AG | (1807.09147v4)

Abstract: We study Fourier transforms of regular holonomic D-modules. In particular we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic D-modules will be given. Moreover we give a new proof to the classical theorem of Brylinski and improve it by showing its converse.

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