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

[1] Eigenvalues for the monodromy of the Milnor fibers of arrangements
Libgober, A
TRENDS IN SINGULARITIES, 2002, : 141 - 150
[2] Torsion in the Homology of Milnor Fibers of Hyperplane Arrangements
Denham, Graham
Suciu, Alexander I.
COMBINATORIAL METHODS IN TOPOLOGY AND ALGEBRA, 2015, 12 : 31 - 36
[3] Arrangements of lines and monodromy of associated Milnor fibers
Salvetti, Mario
Serventi, Matteo
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2016, 25 (12)
[4] On the monodromy action on Milnor fibers of graphic arrangements
Macinic, Anca Danielal
Papadima, Stefan
TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (04) : 761 - 774
[5] Morse theory, Milnor fibers and minimality of hyperplane arrangements
Randell, R
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (09) : 2737 - 2743
[6] The Monodromy Conjecture for hyperplane arrangements
Budur, Nero
Mustata, Mircea
Teitler, Zach
GEOMETRIAE DEDICATA, 2011, 153 (01) : 131 - 137
[7] The Monodromy Conjecture for hyperplane arrangements
Nero Budur
Mircea Mustaţă
Zach Teitler
Geometriae Dedicata, 2011, 153 : 131 - 137
[8] First Milnor cohomology of hyperplane arrangements
Budur, Nero
Dimca, Alexandru
Saito, Morihiko
TOPOLOGY OF ALGEBRAIC VARIETIES AND SINGULARITIES, 2011, 538 : 279 - +
[9] ARRANGEMENTS AND MILNOR FIBERS
ORLIK, P
TERAO, H
MATHEMATISCHE ANNALEN, 1995, 301 (02) : 211 - 235
[10] ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS
Dimca, Alexandru
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2019, 18 (06) : 1215 - 1231

← 1 2 3 4 5 →