Characteristic Varieties for a Class of Line Arrangements

被引：2

作者：

Thi Anh Thu Dinh ^{[1
]}

机构：

[1] Univ Nice Sophia Antipolis, F-06108 Nice 02, France

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2011年 / 54卷 / 01期

关键词：

local system; line arrangement; characteristic variety; resonance variety; LOCAL SYSTEMS; INVARIANTS;

D O I：

10.4153/CMB-2010-092-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a line arrangement in the complex projective plane P-2, having the points of multiplicity >= 3 situated on two lines in A, say H-0 and H-infinity. Then we show that the non-local irreducible components of the first resonance variety R-1(A) are 2-dimensional and correspond to parallelograms P in C-2 = P-2 backslash H-infinity whose sides are in A and for which H-0 is a diagonal.

引用

页码：56 / 67

页数：12

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