Relative regular Riemann-Hilbert correspondence

被引：8

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

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