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Published online: 2017-11-10
Relative Riemann–Hilbert correspondence in dimension oneTeresa Monteiro Fernandes and Claude Sabbah (1) Universidade de Lisboa, Portugal
(2) Ecole Polytechnique, Palaiseau, France
We prove that, in relative dimension one, the functor RH$^S$ constructed in a previous work () 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.
Keywords: Relative holonomic $\mathcal D$-module, regularity, constructibility, adjoint functor
Fernandes Teresa Monteiro, Sabbah Claude: Relative Riemann–Hilbert correspondence in dimension one. Port. Math. 74 (2017), 149-159. doi: 10.4171/PM/1997