Relative regular Riemann-Hilbert correspondence II

被引：3

作者：

Fiorot, Luisa ^{[1
]}

Fernandes, Teresa Monteiro ^{[2
,3
]}

Sabbah, Claude ^{[4
]}

机构：

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

[2] Ctr Matemat & Aplicacoes Fundamentais, Ctr Invest Operac, Edificio C 6,Piso 2, P-1700 Lisbon, Portugal

[3] FCUL, Dept Matemat, Edificio C 6,Piso 2, P-1700 Lisbon, Portugal

[4] CNRS, Ecole Polytech, Inst Polytech Paris, CMLS, F-91128 Palaiseau, France

来源：

COMPOSITIO MATHEMATICA | 2023年 / 159卷 / 07期

关键词：

holonomic relative D-module; regularity; relative constructible sheaf; relative perverse sheaf; D-MODULES; SHEAVES;

D O I：

10.1112/S0010437X23007224

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop the theory of relative regular holonomic D-modules with a smooth complex manifold S 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.

引用

页码：1413 / 1465

页数：54

共 19 条

[1] Relative regular Riemann-Hilbert correspondence
Fiorot, Luisa
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PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2021, 122 (03) : 434 - 457
[2] RIEMANN-HILBERT CORRESPONDENCE FOR MIXED TWISTOR D-MODULES
Fernandes, Teresa Monteiro
Sabbah, Claude
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[3] Relative Riemann-Hilbert correspondence in dimension one
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[4] Microlocal Riemann-Hilbert correspondence
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[5] Kashiwara conjugation and the enhanced Riemann-Hilbert correspondence
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[6] FLAT GAUGE FIELDS AND THE RIEMANN-HILBERT CORRESPONDENCE
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REPORTS ON MATHEMATICAL PHYSICS, 2020, 86 (02) : 187 - 208
[7] Note on algebraic irregular Riemann-Hilbert correspondence
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RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023, 149 : 45 - 81
[8] The Riemann-Hilbert correspondence for unit F-crystals
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ASTERISQUE, 2004, (293) : 1 - +
[9] RIEMANN-HILBERT CORRESPONDENCE FOR UNIT F-CRYSTALS ON EMBEDDABLE ALGEBRAIC VARIETIES
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ANNALES DE L INSTITUT FOURIER, 2018, 68 (03) : 1077 - 1120
[10] THE RIEMANN-HILBERT PROBLEM IN THE IRREGULAR CASE
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ASTERISQUE, 2019, (407) : 267 - 296

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