The fundamental group of partial compactifications of the complement of a real line arrangement - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

The fundamental group of partial compactifications of the complement of a real line arrangement

Résumé

Let A be a real projective line arrangement and M (A) its complement in CP 2. We obtain an explicit expression in terms of Randell's generators of the meridians around the exceptional divisors in the blow-up ¯ X of CP 2 in the singular points of A. We use this to investigate the partial compactifications of M (A) contained in ¯ X and give a counterexample to a statement suggested by A. Dimca and P. Eyssidieux to the effect that the fundamental group of such an algebraic variety is finite whenever its abelianization is.
Fichier principal
Vignette du fichier
The fundamental group of partial compactifications of the complement of a real line arrangement.pdf (227.7 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02104751 , version 1 (24-04-2019)

Identifiants

Citer

Rodolfo Aguilar Aguilar. The fundamental group of partial compactifications of the complement of a real line arrangement. 2019. ⟨hal-02104751⟩

Collections

UGA CNRS FOURIER
126 Consultations
72 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More