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
收藏
页码:697 / 707
页数:11
相关论文
共 23 条
[1]  
[Anonymous], ARXIV13011888
[2]  
[Anonymous], ARXIV14010868
[3]  
Budur N, 2011, CONTEMP MATH, V538, P279
[4]   ON MILNOR FIBRATIONS OF ARRANGEMENTS [J].
COHEN, DC ;
SUCIU, AI .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1995, 51 :105-119
[5]   Nonresonance conditions for arrangements [J].
Cohen, DC ;
Dimca, A ;
Orlik, P .
ANNALES DE L INSTITUT FOURIER, 2003, 53 (06) :1883-+
[6]  
Dimca A., 1992, SINGULARITIES TOPOLO
[7]  
Dimca A., 2004, UNIVERSITEX
[8]   TATE PROPERTIES, POLYNOMIAL-COUNT VARIETIES, AND MONODROMY OF HYPERPLANE ARRANGEMENTS [J].
Dimca, Alexandru .
NAGOYA MATHEMATICAL JOURNAL, 2012, 206 :75-97
[9]  
Dimca A, 2011, ANN SCUOLA NORM-SCI, V10, P253
[10]  
Falk M, 2007, COMPOS MATH, V143, P1069