Position of singularities and fundamental group of the complement of a union of lines

被引:11
作者
Fan, K
机构
关键词
D O I
10.1090/S0002-9939-96-03487-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we give two examples of complex line arrangements in CP2 with 7 lines, that both have 3 triple points and 12 double points, and their complements have nonisomorphic global fundamental groups. These two line arrangements are, in some sense, a much simpler example of a pair of plane algebraic curves that have the same local topology but have complements with different global topology-compare with the example given by Zariski, or the recent example given by Artal-Bartolo.
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页码:3299 / 3303
页数:5
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