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 closed regular neighbourhood 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.
On complex line arrangements and their boundary manifolds / Florens, Vincent; Guerville-Ballé, Benoît; Marco-Buzunariz, Miguel Angel. - In: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. - ISSN 0305-0041. - 159:2(2015), pp. 189-205. [10.1017/s0305004115000262]
On complex line arrangements and their boundary manifolds
Guerville-Ballé, Benoît;
2015-01-01
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 closed regular neighbourhood 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
