Obstructions on fundamental groups of plane curve complements

被引：0

作者：

Leidy, Constance ^{[1
]}

Maxim, Laurentiu ^{[2
]}

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

[2] Univ Illinois, Dept Math, Chicago, IL 60607 USA

来源：

REAL AND COMPLEX SINGULARITIES | 2008年 / 459卷

关键词：

curve complement; singularities; Alexander polynomial; characteristic variety; higher-order degree;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We survey various Alexander-type invariants of plane curve complements and, in relation to a question of Serre, we emphasize certain obstructions on the type of groups that can arise as fundamental groups of complements to complex plane curves. These obstructions are then discussed on special classes of examples. In particular, we give new explicit computations of higher-order degrees of curves, which are invariants defined in a previous paper of the authors.

引用

页码：117 / +

页数：3

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