Local systems on analytic germ complements

被引：6

作者：

Budur, Nero ^{[1
]}

Wang, Botong ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B, B-3001 Leuven, Belgium

来源：

ADVANCES IN MATHEMATICS | 2017年 / 306卷

关键词：

Local systems; Cohomology; Jump loci; Riemann-Hilbert correspondence; COHOMOLOGY JUMP LOCI; VANISHING PROXIMITY; D-MODULE; EQUATIONS; MANIFOLDS;

D O I：

10.1016/j.aim.2016.11.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the cohomology jump loci of rank one local systems on the complement in a small ball of a germ of a complex analytic set are finite unions of torsion translates of subtori. This is a generalization of the classical Monodromy Theorem stating that the eigenvalues of the monodromy on the cohomology of the Milnor fiber of a germ of a holomorphic function are roots of unity. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：905 / 928

页数：24

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