On Irregularities of Fourier Transforms of Regular Holonomic D-Modules
Algebraic Geometry
2020-02-28 v9
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.
Keywords
Cite
@article{arxiv.1801.07444,
title = {On Irregularities of Fourier Transforms of Regular Holonomic D-Modules},
author = {Yohei Ito and Kiyoshi Takeuchi},
journal= {arXiv preprint arXiv:1801.07444},
year = {2020}
}
Comments
54 pages, to appear in Advances in Mathematics