First Milnor cohomology of hyperplane arrangements

被引：0

作者：

Budur, Nero ^{[1
]}

Dimca, Alexandru ^{[2
]}

Saito, Morihiko ^{[3
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[2] Univ Nice Sophia Antipolis, UMR CNRS 6621, Lab JA Dieudonne, F-06108 Nice 02, France

[3] Kyoto Univ, RIMS, Kyoto 6068502, Japan

来源：

TOPOLOGY OF ALGEBRAIC VARIETIES AND SINGULARITIES | 2011年 / 538卷

关键词：

hyperplane arrangement; Milnor fiber; monodromy; multiplier ideal; MULTIPLIER IDEALS; LOCAL SYSTEMS; COMPLEMENTS; VARIETIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show a combinatorial formula for a lower bound of the dimension of the non-unipotent monodromy part of the first Manor cohomology of a hyperplane arrangement satisfying some combinatorial conditions. This gives exactly its dimension if a stronger combinatorial condition is satisfied. We also prove a non-combinatorial formula for the dimension of the non-unipotent part of the first Milnor cohomology, which apparently depends on the position of the singular points. The latter generalizes a formula previously obtained by the second named author.

引用

页码：279 / +

页数：3