Note On The Algebraic Irregular Riemann-Hilbert Correspondence
Abstract
The subject of this paper is an algebraic version of the irregular Riemann-Hilbert correspondence which was mentioned in [arXiv:1910.09954] by the author. In particular, we prove an equivalence of categories between the triangulated category of algebraic holonomic D-modules on a smooth algebraic variety and the one of algebraic C-constructible enhanced ind-sheaves. Moreover we show that there exists a t-structure on the triangulated category of algebraic C-constructible enhanced ind-sheaves whose heart is equivalent to the abelian category of algebraic holonomic D-modules. Furthermore we shall consider simple objects of its heart and minimal extensions of objects of its heart.
Cite
@article{arxiv.2004.13518,
title = {Note On The Algebraic Irregular Riemann-Hilbert Correspondence},
author = {Yohei Ito},
journal= {arXiv preprint arXiv:2004.13518},
year = {2020}
}
Comments
52 pages, Subsection 3.4 added. arXiv admin note: text overlap with arXiv:1910.09954