ON COMPLEX LINE ARRANGEMENTS AND THEIR BOUNDARY MANIFOLDS

Vincent Florens (1) , Benoît Guerville (1) , Miguel Angel Marco Buzunariz (2)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 ICMAT - Instituto de Ciencias Matemáticas

Let A be a line arrangement in the complex projective plane P2. We consider the boundary manifold, defined as the boundary of a close regular neighborhood of A in P2 and study the inclusion map on the complement. We give an explicit method to compute the map induced on the fundamental groups. This extends the work of E.Hironaka on the homotopy type of the complement of (complexified) real arrangements to any complex arrangement.

Mots clés: line arrangement; boundary manifold; incidence graph; wiring diagram

Domaines: Topologie géométrique [math.GT]

Vincent Florens, Benoît Guerville, Miguel Angel Marco Buzunariz. ON COMPLEX LINE ARRANGEMENTS AND THEIR BOUNDARY MANIFOLDS. 2013. ⟨hal-00825063v1⟩