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.
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页码：279 / +
页数：3
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