Relative Riemann-Hilbert correspondence in dimension one

Abstract

We prove that, on a Riemann surface, the functor ${\mathrm{RH}}^S$ constructed in a previous work as a right quasi-inverse of the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes satisfies the left quasi-inverse property in a generic sense.

10 pages. V2: revised version, some mistake corrected, improvement of the presentation. V3: final version to be published

References in corpus (1)

• On the de Rham complex of mixed twistor D-modules

Cited by in corpus (2)

• Relative regular Riemann-Hilbert correspondence
• Relative Regular Riemann-Hilbert correspondence II