Riemann-Hilbert correspondence for holonomic D-modules
Algebraic Geometry
2019-07-25 v2 Complex Variables
Abstract
The classical Riemann-Hilbert correspondence establishes an equivalence between the triangulated category of regular holonomic D-modules and that of constructible sheaves. In this paper, we prove a Riemann-Hilbert correspondence for holonomic D-modules which are not necessarily regular. The construction of our target category is based on the theory of ind-sheaves by Kashiwara-Schapira and influenced by Tamarkin's work. Among the main ingredients of our proof is the description of the structure of flat meromorphic connections due to Mochizuki and Kedlaya.
Cite
@article{arxiv.1311.2374,
title = {Riemann-Hilbert correspondence for holonomic D-modules},
author = {Andrea D'Agnolo and Masaki Kashiwara},
journal= {arXiv preprint arXiv:1311.2374},
year = {2019}
}
Comments
114pages; v.2 minor changes, 114 pp