Relative Riemann-Hilbert correspondence in dimension one

Teresa Monteiro Fernandes; Claude Sabbah

doi:10.4171/PM/1997

Relative Riemann-Hilbert correspondence in dimension one

Teresa Monteiro Fernandes
, Claude Sabbah

Faculdade de Ciências, Universidade de Lisboa

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

4 Citations (Scopus)

Résumé

We prove that, in relative dimension one, the functor RH^S constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.

langue originale	Anglais
Pages (de - à)	149-159
Nombre de pages	11
journal	Portugaliae Mathematica
Volume	74
Numéro de publication	2
Les DOIs	https://doi.org/10.4171/PM/1997
état	Publié - 1 janv. 2017

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10.4171/PM/1997

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title = "Relative Riemann-Hilbert correspondence in dimension one",

abstract = "We prove that, in relative dimension one, the functor RHS constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.",

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AU - Fernandes, Teresa Monteiro

AU - Sabbah, Claude

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N2 - We prove that, in relative dimension one, the functor RHS constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.

AB - We prove that, in relative dimension one, the functor RHS constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.

KW - Adjoint functor

KW - Constructibility

KW - Regularity

KW - Relative holonomic D-module

U2 - 10.4171/PM/1997

DO - 10.4171/PM/1997

M3 - Article

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VL - 74

SP - 149

EP - 159

JO - Portugaliae Mathematica

JF - Portugaliae Mathematica

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Relative Riemann-Hilbert correspondence in dimension one

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