Relative regular Riemann-Hilbert correspondence II

Luisa Fiorot; Teresa Monteiro Fernandes; Claude Sabbah

doi:10.1112/S0010437X23007224

Relative regular Riemann-Hilbert correspondence II

Luisa Fiorot
, Teresa Monteiro Fernandes
, Claude Sabbah

Research output: Contribution to journal › Article › peer-review

Abstract

We develop the theory of relative regular holonomic -modules with a smooth complex manifold 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.

Original language	English
Pages (from-to)	1413-1465
Number of pages	53
Journal	Compositio Mathematica
Volume	159
Issue number	7
DOIs	https://doi.org/10.1112/S0010437X23007224
Publication status	Published - 15 Jul 2023

Keywords

holonomic relative D-module
regularity
relative constructible sheaf
relative perverse sheaf

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10.1112/S0010437X23007224

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title = "Relative regular Riemann-Hilbert correspondence II",

abstract = "We develop the theory of relative regular holonomic -modules with a smooth complex manifold 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.",

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AU - Sabbah, Claude

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KW - regularity

KW - relative constructible sheaf

KW - relative perverse sheaf

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Relative regular Riemann-Hilbert correspondence II

Abstract

Keywords

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