On complex line arrangements and their boundary manifolds

Vincent Florens; Benoît Guerville-Ballé; Miguel Marco Buzunariz

doi:10.1017/s0305004115000262

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arXiv · 1305.5645

On complex line arrangements and their boundary manifolds

Vincent Florens·Benoît Guerville-Ballé·Miguel Marco Buzunariz

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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.

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Vincent Florens, Benoît Guerville-Ballé, Miguel Marco Buzunariz. 2015-06-30. On complex line arrangements and their boundary manifolds. https://doi.org/10.1017/s0305004115000262

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