On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules
Algebraic Geometry
2019-09-27 v4
Abstract
We study Fourier transforms of regular holonomic D-modules. In particular we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic D-modules will be given. Moreover we give a new proof to the classical theorem of Brylinski and improve it by showing its converse.
Cite
@article{arxiv.1807.09147,
title = {On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules},
author = {Yohei Ito and Kiyoshi Takeuchi},
journal= {arXiv preprint arXiv:1807.09147},
year = {2019}
}
Comments
15 pages, to appear in Canad. Math. Bull. arXiv admin note: substantial text overlap with arXiv:1801.07444