On complex line arrangements and their boundary manifolds

Abstract

Let A be a line arrangement in the complex projective plane CP2. We define and describe the inclusion map of the boundary manifold --the boundary of a close regular neighborhood of A-- in the exterior of the arrangement. We obtain two explicit descriptions of the map induced on the fundamental groups. These computations provide a new minimal presentation of the fundamental group of the complement.

17 pages

References in corpus (1)

• Topology and combinatorics of real line arrangements

Cited by in corpus (3)

• An arithmetic Zariski 4-tuple of twelve lines
• An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group
• The homology groups of finite cyclic covering of line arrangement complement