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

Yohei Ito; Kiyoshi Takeuchi

doi:10.4153/S0008439519000559

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

Yohei Ito, Kiyoshi Takeuchi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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

Original language	English
Pages (from-to)	454-468
Number of pages	15
Journal	Canadian Mathematical Bulletin
Volume	63
Issue number	2
DOIs	https://doi.org/10.4153/S0008439519000559
Publication status	Published - 1 Jun 2020

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abstract = "We study Fourier transforms of regular holonomic -modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic -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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AB - We study Fourier transforms of regular holonomic -modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic -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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On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules

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