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 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.

Domains: Algebraic Geometry [math.AG]

Luisa Fiorot, Teresa Monteiro Fernandes, Claude Sabbah. Relative Regular Riemann-Hilbert correspondence II. 2022. ⟨hal-03752510⟩