Riemann-Hilbert correspondence for mixed twistor D-Modules
Algebraic Geometry
2019-05-03 v2 Complex Variables
Abstract
We introduce the notion of regularity for a relative holonomic -module in the sense of arXiv:1204.1331. We prove that the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes is essentially surjective by constructing a right quasi-inverse functor. When restricted to relative -modules underlying a regular mixed twistor -module, this functor satisfies the left quasi-inverse property.
Cite
@article{arxiv.1609.04192,
title = {Riemann-Hilbert correspondence for mixed twistor D-Modules},
author = {Teresa Monteiro Fernandes and Claude Sabbah},
journal= {arXiv preprint arXiv:1609.04192},
year = {2019}
}
Comments
36 pages. V2: 40 pages, statement of Theorem 5 corrected, a correction in the proof of Lemma 3.15, presentation improved with more introductory material