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
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.