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arXiv · 1703.03907

The derived Riemann-Hilbert correspondence

Mauro Porta
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Abstract

In this short paper we prove a derived version of the Riemann-Hilbert correspondence of Deligne and Simpson. Our generalization is twofold: on one side we consider families of representations of the full homotopy type of a smooth analytic space $X$ in the stable $\infty$-category of complexes of coherent sheaves and of perfect complexes; on the other side, we allow the base parametrizing such families to be derived $\mathbb C$-analytic spaces.

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Mauro Porta. 2017-03-11. The derived Riemann-Hilbert correspondence. https://arxiv.org/abs/1703.03907

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