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The Riemann-Hilbert Correspondence for Algebraic Stacks

Published 27 Aug 2013 in math.AG | (1308.5890v1)

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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