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Relative regular Riemann-Hilbert correspondence
Published 24 Jun 2019 in math.AG and math.CV | (1906.09725v4)
Abstract: On the product of a complex manifold $X$ by a complex curve $S$ considered as a parameter space, we show a Riemann-Hilbert correspondence between regular holonomic relative $\mathcal D$-modules (resp. complexes) on the one hand and relative perverse complexes (resp. $S$-$\mathbb{C}$-constructible complexes) on the other hand.
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