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

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

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	434-457
Number of pages	24
Journal	Proceedings of the London Mathematical Society
Volume	122
Issue number	3
DOIs	https://doi.org/10.1112/plms.12362
Publication status	Published - 1 Mar 2021

Keywords

14F10
32C38
35A27
58J15 (primary)

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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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AU - Fiorot, Luisa

AU - Monteiro Fernandes, Teresa

AU - Sabbah, Claude

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N2 - 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.

AB - 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.

KW - 14F10

KW - 32C38

KW - 35A27

KW - 58J15 (primary)

U2 - 10.1112/plms.12362

DO - 10.1112/plms.12362

M3 - Article

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SN - 0024-6115

VL - 122

SP - 434

EP - 457

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

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ER -

Relative regular Riemann–Hilbert correspondence

Abstract

Keywords

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