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arxiv: 1308.5890 · v1 · pith:5MISE6WUnew · submitted 2013-08-27 · 🧮 math.AG

The Riemann-Hilbert Correspondence for Algebraic Stacks

Alexander Paulin This is my paper
classification 🧮 math.AG
keywords algebraiccategoriesconstructcorrespondenceriemann-hilbertalgebraicallyclassicalcomplex
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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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