Relative Riemann-Hilbert correspondence in dimension one
Algebraic Geometry
2017-11-03 v3
Abstract
We prove that, on a Riemann surface, the functor constructed in a previous work as a right quasi-inverse of the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes satisfies the left quasi-inverse property in a generic sense.
Keywords
Cite
@article{arxiv.1704.05102,
title = {Relative Riemann-Hilbert correspondence in dimension one},
author = {Teresa Monteiro Fernandes and Claude Sabbah},
journal= {arXiv preprint arXiv:1704.05102},
year = {2017}
}
Comments
10 pages. V2: revised version, some mistake corrected, improvement of the presentation. V3: final version to be published