POSITION OF SINGULARITIES AND FUNDAMENTAL GROUP OF THE COMPLEMENT OF A UNION OF LINES

Authors
Citation
K. Fan, POSITION OF SINGULARITIES AND FUNDAMENTAL GROUP OF THE COMPLEMENT OF A UNION OF LINES, Proceedings of the American Mathematical Society, 124(11), 1996, pp. 3299-3303
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
ISSN journal
00029939
Volume
124
Issue
11
Year of publication
1996
Pages
3299 - 3303
Database
ISI
SICI code
0002-9939(1996)124:11<3299:POSAFG>2.0.ZU;2-5
Abstract
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, an d their complements have nonisomorphic global fundamental groups. Thes e 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 exam ple given by Zariski, or the recent example given by Artal-Bartolo.