Relative Riemann-Hilbert correspondence in dimension one (Q1687820)

Summary: We prove that, in relative dimension one, the functor RH\(^S\) constructed in a previous work [J. Inst. Math. Jussieu 18, No. 3, 629--672 (2019; Zbl 1440.14101)] as a right quasi-inverse of the solution functor from the bounded derived category of relative \(\mathcal D\)-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.