On complex line arrangements and their boundary manifolds

Florens, Vincent ; Guerville-Ballé, Benoit ; Marco Buzunariz, Miguel Angel (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1017/S0305004115000262

Año: 2015

Publicado en: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 159 (2015), 189-205
ISSN: 0305-0041

Factor impacto JCR: 0.534 (2015)

Categ. JCR: MATHEMATICS rank: 193 / 311 = 0.621 (2015) - Q3 - T2

Factor impacto SCIMAGO: 1.202 - Mathematics (miscellaneous) (Q1)

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Didáctica Matemática (Dpto. Matemáticas)