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Relative Regular Riemann-Hilbert correspondence II

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1
Luisa Fiorot
  • Function : Author
Teresa Monteiro Fernandes
  • Function : Author
Claude Sabbah

Abstract

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.

Dates and versions

hal-03752510 , version 1 (16-08-2022)

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