Relative regular Riemann–Hilbert correspondence

Luisa Fiorot; Teresa Monteiro Fernandes; Claude Sabbah

doi:10.1112/plms.12362

Relative regular Riemann–Hilbert correspondence

Luisa Fiorot
, Teresa Monteiro Fernandes
, Claude Sabbah

University of Padova
Centro de Matemática, Aplicações Fundamentais e Investigação Operacional

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

8 Citations (Scopus)

Résumé

On the product of a complex manifold (Formula presented.) by a complex curve (Formula presented.) considered as a parameter space, we show a Riemann–Hilbert correspondence between regular holonomic relative (Formula presented.) -modules (respectively, complexes) on the one hand and relative perverse complexes (respectively, (Formula presented.) - (Formula presented.) -constructible complexes) on the other hand.

langue originale	Anglais
Pages (de - à)	434-457
Nombre de pages	24
journal	Proceedings of the London Mathematical Society
Volume	122
Numéro de publication	3
Les DOIs	https://doi.org/10.1112/plms.12362
état	Publié - 1 mars 2021

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10.1112/plms.12362

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title = "Relative regular Riemann–Hilbert correspondence",

abstract = "On the product of a complex manifold (Formula presented.) by a complex curve (Formula presented.) considered as a parameter space, we show a Riemann–Hilbert correspondence between regular holonomic relative (Formula presented.) -modules (respectively, complexes) on the one hand and relative perverse complexes (respectively, (Formula presented.) - (Formula presented.) -constructible complexes) on the other hand.",

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Relative regular Riemann–Hilbert correspondence

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