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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1413-1465
Nombre de pages	53
journal	Compositio Mathematica
Volume	159
Numéro de publication	7
Les DOIs	https://doi.org/10.1112/S0010437X23007224
état	Publié - 15 juil. 2023

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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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KW - regularity

KW - relative constructible sheaf

KW - relative perverse sheaf

UR - https://www.scopus.com/pages/publications/85164442467

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Relative regular Riemann-Hilbert correspondence II

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