Topology of factored arrangements of lines

Luis Paris
1995 Proceedings of the American Mathematical Society  
A real arrangement of affine lines is a finite family s/ of lines in R2 . A real arrangement j/ of lines is said to be factored if there exists a partition n = (0¡, ry of si into two disjoint subsets such that the Orlik-Solomon algebra of s/ factors according to this partition. We prove that the complement of the complexification of a factored real arrangement of lines is a K{n, 1) space.
doi:10.1090/s0002-9939-1995-1227528-7 fatcat:tiejwqnwhnevllrvvvgwd6ml3i