Relative regular Riemann–Hilbert correspondence

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

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Bibliographic Details
Published in:Proceedings of the London Mathematical Society 2021-03, Vol.122 (3), p.434-457
Main Authors: Fiorot, Luisa, Monteiro Fernandes, Teresa, Sabbah, Claude
Format: Article
Language:English
Subjects:
14F10
32C38
35A27
58J15 (primary)
Algebraic Geometry
Mathematics
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Summary:On the product of a complex manifold X by a complex curve S considered as a parameter space, we show a Riemann–Hilbert correspondence between regular holonomic relative D‐modules (respectively, complexes) on the one hand and relative perverse complexes (respectively, S‐C‐constructible complexes) on the other hand.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms.12362