Relative regular Riemann-Hilbert correspondence

被引：9

作者：

Fiorot, Luisa ^{[1
]}

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

Sabbah, Claude ^{[4
]}

机构：

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

[2] Univ Lisbon, Fac Ciencias, Ctr Matemat Aplicacoes Fundamentais & Invest Oper, Bloco C6,Piso 2, P-1749016 Lisbon, Portugal

[3] Univ Lisbon, Fac Ciencias, Dept Matemat, Bloco C6,Piso 2, P-1749016 Lisbon, Portugal

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

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 122卷 / 03期

关键词：

14F10; 32C38; 35A27; 58J15 (primary); SHEAVES;

D O I：

10.1112/plms.12362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the product of a complex manifoldXby a complex curveSconsidered as a parameter space, we show a Riemann-Hilbert correspondence between regular holonomic relativeD-modules (respectively, complexes) on the one hand and relative perverse complexes (respectively,S-C-constructible complexes) on the other hand.

引用

页码：434 / 457

页数：24

共 7 条

[1] Relative regular Riemann-Hilbert correspondence II
Fiorot, Luisa
Fernandes, Teresa Monteiro
Sabbah, Claude
COMPOSITIO MATHEMATICA, 2023, 159 (07) : 1413 - 1465
[2] Microlocal Riemann-Hilbert correspondence
Waschkies, I
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2005, 41 (01) : 37 - 72
[3] Kashiwara conjugation and the enhanced Riemann-Hilbert correspondence
Hohl, Andreas
PORTUGALIAE MATHEMATICA, 2024, 81 (3-4) : 347 - 387
[4] RIEMANN-HILBERT CORRESPONDENCE FOR MIXED TWISTOR D-MODULES
Fernandes, Teresa Monteiro
Sabbah, Claude
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2019, 18 (03) : 629 - 672
[5] THE RIEMANN-HILBERT PROBLEM IN THE IRREGULAR CASE
Guillermou, Stephane
ASTERISQUE, 2019, (407) : 267 - 296
[6] Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
Krug, Andreas
MATHEMATISCHE ANNALEN, 2018, 371 (1-2) : 461 - 486
[7] The χ-y-genera of relative Hilbert schemes for linear systems on Abelian and K3 surfaces
Goettsche, Lothar
Shende, Vivek
ALGEBRAIC GEOMETRY, 2015, 2 (04): : 405 - 421

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