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

[21] Tensor product and irregularity for holonomic D-modules
Teyssier, Jean-Baptiste
COMPTES RENDUS MATHEMATIQUE, 2015, 353 (05) : 439 - 441
[22] Holonomic D-modules of Fuchsian and logarithmic types
Aleksandrov, A. G.
Kuznetsov, A. N.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (1-4) : 171 - 191
[23] ON A TOPOLOGICAL COUNTERPART OF REGULARIZATION FOR HOLONOMIC D-MODULES
D'Agnolo, Andrea
Kashiwara, Masaki
JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2021, 8 : 27 - 55
[24] ON NON-HOLONOMIC IRREDUCIBLE D-MODULES
BERNSTEIN, J
LUNTS, V
INVENTIONES MATHEMATICAE, 1988, 94 (02) : 223 - 243
[25] A boundedness theorem for nearby slopes of holonomic D-modules
Teyssier, Jean-Baptiste
COMPOSITIO MATHEMATICA, 2016, 152 (10) : 2050 - 2070
[26] Riemann-Hilbert correspondence for holonomic D-modules
D'Agnolo, Andrea
Kashiwara, Masaki
PUBLICATIONS MATHEMATIQUES DE L IHES, 2016, 123 (01): : 69 - 197
[27] Dimension formulas for the hyperfunction solutions to holonomic D-modules
Takeuchi, K
ADVANCES IN MATHEMATICS, 2003, 180 (01) : 134 - 145
[28] Riemann-Hilbert correspondence for holonomic D-modules
Andrea D’Agnolo
Masaki Kashiwara
Publications mathématiques de l'IHÉS, 2016, 123 : 69 - 197
[29] On injective dimension of F-finite F-modules and holonomic D-modules
Zhang, Wenliang
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2017, 49 (04) : 593 - 603
[30] Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2
Bavula, V
Van Oystaeyen, F
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (06) : 2193 - 2214

← 1 2 3 4 5 →