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arXiv · 1610.08572

Curve test for enhanced ind-sheaves and holonomic D-modules

Takuro Mochizuki
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Abstract

Recently, the Riemann-Hilbert correspondence was generalized in the context of general holonomic D-modules by A. D'Agnolo and M. Kashiwara. Namely, they proved that their enhanced de Rham functor gives a fully faithfully embedding of the derived category of cohomologically holonomic complexes of D-modules into the derived category of complexes of real constructible enhanced ind-sheaves. In this paper, we study a condition when a complex of real constructible enhanced ind-sheaves $K$ is induced by a cohomologically holonomic complex of D-modules. We characterize such $K$ in terms of the restriction of $K$ to holomorphic curves.

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Takuro Mochizuki. 2018-12-01. Curve test for enhanced ind-sheaves and holonomic D-modules. https://arxiv.org/abs/1610.08572

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