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

Author: Kwai-Man Fan
Journal: Proc. Amer. Math. Soc. 124 (1996), 3299-3303
MSC (1991): Primary 14H30; Secondary 14H20
MathSciNet review: 1343691
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Abstract: In this paper we give two examples of complex line arrangements in $CP^{2}$ 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.

References [Enhancements On Off] (What's this?)

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Additional Information

Kwai-Man Fan
Affiliation: Department of Mathematics, National Chung Cheng University, Minghsiung, Chiayi 621, Taiwan

Received by editor(s): May 1, 1995
Communicated by: Peter Li
Article copyright: © Copyright 1996 American Mathematical Society

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