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arXiv · 2203.05444

Relative Regular Riemann-Hilbert correspondence II

Luisa Fiorot·Teresa Monteiro Fernandes·Claude Sabbah
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Abstract

We develop the theory of relative regular holonomic D-modules with a smooth complex manifold S of arbitrary dimension as parameter space, together with their main functorial properties. In particular, we establish in this general setting the relative Riemann-Hilbert correspondence proved in a previous work in the one-dimensional case.

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Luisa Fiorot, Teresa Monteiro Fernandes, Claude Sabbah. 2022-03-10. Relative Regular Riemann-Hilbert correspondence II. https://doi.org/10.1112/s0010437x23007224

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