The Riemann-Hilbert Correspondence for Algebraic Stacks

2013/08/27 by Alexander G. M. Paulin, Paulin, Alexander
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph Labeling and Dimension Problems #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1308.5890

openalex publication_date 2013/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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