Geodesic
Orbifold groups, quasi-projectivity and covers
Journal of Singularities, Tome 5 (2012), pp. 33-47

Voir la notice de l'article provenant de la source Journal of Singularities website

We discuss properties of complex algebraic orbifold groups, their characteristic varieties, and their abelian covers. In particular, we deal with the question of (quasi)-projectivity of orbifold groups. We also prove a structure theorem for the variety of characters of normal-crossing quasi-projective orbifold groups. Finally, we extend Sakuma's formula for the first Betti number of abelian covers of orbifold fundamental groups. Several examples are presented, including a compact orbifold group which is not projective and a Zariski pair of plane curves in P^2 that can be told by considering an unbranched cover of P^2 with an orbifold structure. 
@article{10_5427_jsing_2012_5c,
     author = {Enrique Artal Bartolo and Jos\'e I. Cogolludo-Agust{\'\i}n, and Daniel Matei},
     title = {Orbifold groups, quasi-projectivity and covers},
     journal = {Journal of Singularities},
     pages = {33--47},
     publisher = {mathdoc},
     volume = {5},
     year = {2012},
     doi = {10.5427/jsing.2012.5c},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.5c/}
}
TY  - JOUR
AU  - Enrique Artal Bartolo
AU  - José I. Cogolludo-Agustín,
AU  - Daniel Matei
TI  - Orbifold groups, quasi-projectivity and covers
JO  - Journal of Singularities
PY  - 2012
SP  - 33
EP  - 47
VL  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.5c/
DO  - 10.5427/jsing.2012.5c
ID  - 10_5427_jsing_2012_5c
ER  - 
%0 Journal Article
%A Enrique Artal Bartolo
%A José I. Cogolludo-Agustín,
%A Daniel Matei
%T Orbifold groups, quasi-projectivity and covers
%J Journal of Singularities
%D 2012
%P 33-47
%V 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.5c/
%R 10.5427/jsing.2012.5c
%F 10_5427_jsing_2012_5c
Enrique Artal Bartolo; José I. Cogolludo-Agustín,; Daniel Matei. Orbifold groups, quasi-projectivity and covers. Journal of Singularities, Tome 5 (2012), pp. 33-47. doi: 10.5427/jsing.2012.5c

Cité par Sources :