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

共 50 条

[31] The mod-p Riemann-Hilbert correspondence and the perfect site
Mathew, Akhil
TUNISIAN JOURNAL OF MATHEMATICS, 2023, 5 (02) : 369 - 403
[32] FROM DYSON-SCHWINGER EQUATIONS TO THE RIEMANN-HILBERT CORRESPONDENCE
Shojaei-Fard, Ali
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (04) : 519 - 538
[33] ON RIEMANN-HILBERT PROBLEM FOR REGULAR FUNCTIONS WITH VALUES IN A CLIFFORD ALGEBRA
徐振远
程晋
ScienceBulletin, 1988, (10) : 874 - 876
[34] Riemann-Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities
Korotkin, D.
Shramchenko, V.
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 661 : 125 - 187
[35] The Riemann-Hilbert problem
Ramis, Jean-Pierre
DIVERGENT SERIES, SUMMABILITY AND RESURGENCE I: MONODROMY AND RESURGENCE, 2016, 2153 : 87 - 119
[36] The Riemann-Hilbert Problem on the Riemann Surface
Komech, Alexander
Merzon, Anatoli
STATIONARY DIFFRACTION BY WEDGES: METHOD OF AUTOMORPHIC FUNCTIONS ON COMPLEX CHARACTERISTICS, 2019, 2249 : 111 - 115
[37] A RIEMANN-HILBERT PROBLEM IN A RIEMANN SURFACE
Spyridon Kamvissis
ActaMathematicaScientia, 2011, 31 (06) : 2233 - 2246
[38] The Riemann-Hilbert Correspondence for P3D6 Bundles
Guest, Martin A.
Hertling, Claus
PAINLEVE III: A CASE STUDY IN THE GEOMETRY OF MEROMORPHIC CONNECTIONS, 2017, 2198 : 21 - 32
[39] A RIEMANN-HILBERT PROBLEM IN A RIEMANN SURFACE
Kamvissis, Spyridon
ACTA MATHEMATICA SCIENTIA, 2011, 31 (06) : 2233 - 2246
[40] Rigidity and a Riemann-Hilbert correspondence for p-adic local systems
Liu, Ruochuan
Zhu, Xinwen
INVENTIONES MATHEMATICAE, 2017, 207 (01) : 291 - 343

← 1 2 3 4 5 →