Enhanced perversities

被引：15

作者：

D'Agnolo, Andrea ^{[1
]}

Kashiwara, Masaki ^{[2
]}

机构：

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

[2] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2019年 / 751卷

基金：

日本学术振兴会;

关键词：

D O I：

10.1515/crelle-2016-0062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On a complex manifold, the Riemann-Hilbert correspondence embeds the triangulated category of (not necessarily regular) holonomic D-modules into the triangulated category of R-constructible enhanced ind-sheaves. The source category has a standard t-structure. Here, we provide the target category with a middle perversity t-structure, and prove that the embedding is exact. In the paper, we also discuss general perversities in the framework of R-constructible enhanced ind-sheaves on bordered subanalytic spaces.

引用

页码：185 / 241

页数：57

共 19 条

[11]

Kashiwara M., 2006, GRUND MATH WISS, V332

[12]

Kashiwara M., 2016, LONDON MATH SOC LECT, V433

[13]

Kashiwara M., 2015, PREPRINT

[14]

Kashiwara M, 2008, LECT NOTES MATH, V1931, P137

[15] Irregular holonomic kernels and Laplace transform [J].

Kashiwara, Masaki ;

Schapira, Pierre .

SELECTA MATHEMATICA-NEW SERIES, 2016, 22 (01) :55-109

[16]

Kashiwara Masaki., 1996, Memoires de la Societe mathematique de France, V1, P1

[17]

LAZARD D, 1969, B SOC MATH FR, V97, P81

[18]

Schneiders J-P., 1999, Mem. Soc. Math. Fr., V76, P1

[19]

Tamarkin D., 2008, PREPRINT

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