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arXiv · 1801.07444

On Irregularities of Fourier Transforms of Regular Holonomic D-Modules

Yohei Ito·Kiyoshi Takeuchi
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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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Yohei Ito, Kiyoshi Takeuchi. 2018-01-23. On Irregularities of Fourier Transforms of Regular Holonomic D-Modules. https://arxiv.org/abs/1801.07444

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