Relative regular Riemann–Hilbert correspondence II

Luisa Fiorot , Teresa Monteiro Fernandes , Claude Sabbah (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We develop the theory of relative regular holonomic $\mathcal {D}$ -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.

Domaines: Mathématiques [math]

Luisa Fiorot, Teresa Monteiro Fernandes, Claude Sabbah. Relative regular Riemann–Hilbert correspondence II. Compositio Mathematica, 2023, 159 (7), pp.1413-1465. ⟨10.1112/S0010437X23007224⟩. ⟨hal-03752510⟩