Relative regular Riemann-Hilbert correspondence
Algebraic Geometry
2022-08-09 v4 Complex Variables
Abstract
On the product of a complex manifold by a complex curve considered as a parameter space, we show a Riemann-Hilbert correspondence between regular holonomic relative -modules (resp. complexes) on the one hand and relative perverse complexes (resp. --constructible complexes) on the other hand.
Keywords
Cite
@article{arxiv.1906.09725,
title = {Relative regular Riemann-Hilbert correspondence},
author = {Luisa Fiorot and Teresa Monteiro Fernandes and Claude Sabbah},
journal= {arXiv preprint arXiv:1906.09725},
year = {2022}
}
Comments
22 pages. This article improves and supersedes arXiv:1811.07151. V2: 28 pages, various corrections, new Th.2, improvement of the presentation. V3: final version to appear in the Proceedings of the London Mathematical Society. V4 Version post-publication, corrects an error in the proof of Prop.3.3 of the published version, Sections 3.2-3.4 modified