A microlocal Riemann-Hilbert correspondence

被引：5

作者：

Neto, O ^{[1
]}

机构：

[1] Univ Lisbon, Fac Ciencias, Dept Matemat, Lisbon, Portugal

[2] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal

来源：

COMPOSITIO MATHEMATICA | 2001年 / 127卷 / 03期

关键词：

holonomic systems; perverse sheaves; Riemann-Hilbert correspondence; microlocal analysis;

D O I：

10.1023/A:1017575902563

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a microlocal version of the Riemann-Hilbert correspondence for regular holonomic D-modules. We show that a regular holonomic system of microdifferential equations is associated to a perverse sheaf concentrated in degree 0. Moreover, we show that this perverse sheaf can be recovered from the local system it determines on the complementary of its singular locus. We characterize the classes of perverse sheaves and local systems associated to regular holonomic systems of microdifferential equations.

引用

页码：229 / 241

页数：13

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