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arXiv · 1609.04192

Riemann-Hilbert correspondence for mixed twistor D-Modules

Teresa Monteiro Fernandes·Claude Sabbah
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Abstract

We introduce the notion of regularity for a relative holonomic $\mathcal D$-module in the sense of arXiv:1204.1331. We prove that the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes is essentially surjective by constructing a right quasi-inverse functor. When restricted to relative $\mathcal D$-modules underlying a regular mixed twistor $\mathcal D$-module, this functor satisfies the left quasi-inverse property.

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Teresa Monteiro Fernandes, Claude Sabbah. 2016-09-14. Riemann-Hilbert correspondence for mixed twistor D-Modules. https://doi.org/10.1017/s1474748017000184

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