English

The Riemann-Hilbert Correspondence for Algebraic Stacks

Algebraic Geometry 2013-08-28 v1

Abstract

Using the theory infinity-categories we construct derived (dg-)categories of regular, holonomic D-modules and algebraically constructible sheaves on a complex smooth algebraic stack. We construct a natural infinity-categorical equivalence between these two categories generalising the classical Riemann-Hilbert correspondence.

Keywords

Cite

@article{arxiv.1308.5890,
  title  = {The Riemann-Hilbert Correspondence for Algebraic Stacks},
  author = {Alexander Paulin},
  journal= {arXiv preprint arXiv:1308.5890},
  year   = {2013}
}
R2 v1 2026-06-22T01:15:51.108Z