On the Monodromy of Milnor Fibers of Hyperplane Arrangements

被引：6

作者：

Bailet, Pauline ^{[1
]}

机构：

[1] Univ Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, F-06100 Nice, France

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2014年 / 57卷 / 04期

关键词：

hyperplane arrangements; Milnor fiber; monodromy; local systems; COHOMOLOGY; VARIETIES;

D O I：

10.4153/CMB-2014-032-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a general setting where the monodromy action on the first cohomology group of the Milnor fiber of a hyperplane arrangement is the identity.

引用

页码：697 / 707

页数：11

共 50 条

[41] Motivic Milnor fibers of a rational function
Michel Raibaut
Revista Matemática Complutense, 2013, 26 : 705 - 734
[42] Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves
Dimca, Alexandru
Sticlaru, Gabriel
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 91 : 98 - 115
[43] A Survey of Combinatorial Aspects in the Topology of Complex Hyperplane Arrangements
Macinic, Anca Daniela
COMBINATORIAL ASPECTS OF COMMUTATIVE ALGEBRA, 2009, 502 : 113 - 128
[44] On combinatorial invariance of the cohomology of the Milnor fiber of arrangements and the Catalan equation over function fields
Libgober, Anatoly
ARRANGEMENTS OF HYPERPLANES - SAPPORO 2009, 2012, 62 : 175 - 187
[45] On the enumeration of a certain type of hyperplane arrangements
C P Anil Kumar
Proceedings - Mathematical Sciences, 2021, 131
[46] Odd Khovanov homology for hyperplane arrangements
Dancso, Zsuzsanna
Licata, Anthony
JOURNAL OF ALGEBRA, 2015, 436 : 102 - 144
[47] Desargues Theorem, Dynamics, and Hyperplane Arrangements
Richard Evan Schwartz
Geometriae Dedicata, 2001, 87 : 261 - 283
[48] On the enumeration of a certain type of hyperplane arrangements
Kumar, C. P. Anil
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2021, 131 (02):
[49] On Formality and Combinatorial Formality for Hyperplane Arrangements
Moeller, Tilman
Mucksch, Paul
Roehrle, Gerhard
DISCRETE & COMPUTATIONAL GEOMETRY, 2024, 72 (01) : 73 - 90
[50] Euclidean matchings and minimality of hyperplane arrangements
Lofano, Davide
Paolini, Giovanni
DISCRETE MATHEMATICS, 2021, 344 (03)

← 1 2 3 4 5 →