On irregularities of Fourier transforms of regular holonomic D-modules

Yohei Ito, Kiyoshi Takeuchi

Research output: Contribution to journalArticlepeer-review

2 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 languageEnglish
Article number107093
JournalAdvances in Mathematics
Volume366
DOIs
Publication statusPublished - 2020 Jun 3
Externally publishedYes

Keywords

  • D-modules
  • Fourier transforms
  • Irregular singularities

ASJC Scopus subject areas

  • Mathematics(all)

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