Regular Holonomic D[[h]]-modules

被引：9

作者：

D'Agnolo, Andrea ^{[1
]}

Guillermou, Stephane ^{[2
]}

Schapira, Pierre ^{[3
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

[2] Univ Grenoble 1, Inst Fourier, F-38402 St Martin Dheres, France

[3] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 05, France

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2011年 / 47卷 / 01期

关键词：

D-modules; deformation-quantization; Riemann-Hilbert correspondence; torsion pairs; SHEAVES;

D O I：

10.2977/PRIMS/35

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the category of regular holonomic modules over the ring D[[h]] of linear differential operators with a formal parameter h. In particular, we establish the Riemann-Hilbert correspondence and discuss the additional t-structure related to h-torsion.

引用

页码：221 / 255

页数：35

共 50 条

[31] REGULARITY THEOREMS FOR HOLONOMIC MODULES
HONDA, N
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1993, 69 (05) : 111 - 114
[32] Riemann-Hilbert correspondence for irregular holonomic D-modules
Kashiwara, Masaki
JAPANESE JOURNAL OF MATHEMATICS, 2016, 11 (01): : 113 - 149
[33] On planar algebraic curves and holonomic D-modules in positive characteristic
Belov-Kanel, Alexei
Elishev, Andrey
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (08)
[34] Bernstein inequality and holonomic modules
Losev, Ivan
ADVANCES IN MATHEMATICS, 2017, 308 : 941 - 963
[35] On the dimension formula for the hyperfunction solutions of some holonomic D-modules
Schürmann, J
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2006, 42 (01) : 1 - 8
[36] Temperate holomorphic solutions and regularity of holonomic D-modules on curves
Martins, Ana Rita
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2007, 118 : 35 - 48
[37] The Riemann-Hilbert Correspondence for Holonomic D-Modules on Curves
Sabbah, Claude
INTRODUCTION TO STOKES STRUCTURES, 2013, 2060 : 65 - 78
[38] Indecomposable non-holonomic D-modules in dimension 2
Coutinho, SC
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2003, 46 : 341 - 355
[39] t-STRUCTURES ON THE DERIVED CATEGORIES OF HOLONOMIC D-MODULES AND COHERENT O-MODULES
Kashiwara, Masaki
MOSCOW MATHEMATICAL JOURNAL, 2004, 4 (04) : 847 - 868
[40] A dichotomy for the injective dimension of F-finite F-modules and holonomic D-modules
Switala, Nicholas
Zhang, Wenliang
COMMUNICATIONS IN ALGEBRA, 2019, 47 (06) : 2525 - 2539

← 1 2 3 4 5 →