On irregularities of Fourier transforms of regular holonomic D-modules

Yohei Ito; Kiyoshi Takeuchi

doi:10.1016/j.aim.2020.107093

On irregularities of Fourier transforms of regular holonomic D-modules

Yohei Ito, Kiyoshi Takeuchi

SCI - Mathematics

The University of Tokyo

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

3 Citations (Scopus)

Abstract

We study Fourier transforms of regular holonomic D-modules. By using the theory of Fourier-Sato transforms of enhanced ind-sheaves developed by Kashiwara-Schapira and D'Agnolo-Kashiwara, a formula for their enhanced solution complexes will be obtained. Moreover we show that some parts of their characteristic cycles and irregularities are expressed by the geometries of the original D-modules.

Original language	English
Article number	107093
Journal	Advances in Mathematics
Volume	366
DOIs	https://doi.org/10.1016/j.aim.2020.107093
Publication status	Published - 2020 Jun 3

Keywords

D-modules
Fourier transforms
Irregular singularities

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10.1016/j.aim.2020.107093

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abstract = "We study Fourier transforms of regular holonomic D-modules. By using the theory of Fourier-Sato transforms of enhanced ind-sheaves developed by Kashiwara-Schapira and D'Agnolo-Kashiwara, a formula for their enhanced solution complexes will be obtained. Moreover we show that some parts of their characteristic cycles and irregularities are expressed by the geometries of the original D-modules.",

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AU - Takeuchi, Kiyoshi

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AB - We study Fourier transforms of regular holonomic D-modules. By using the theory of Fourier-Sato transforms of enhanced ind-sheaves developed by Kashiwara-Schapira and D'Agnolo-Kashiwara, a formula for their enhanced solution complexes will be obtained. Moreover we show that some parts of their characteristic cycles and irregularities are expressed by the geometries of the original D-modules.

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KW - Fourier transforms

KW - Irregular singularities

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On irregularities of Fourier transforms of regular holonomic D-modules

Abstract

Keywords

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