Covering relations between ball-quotient orbifolds
MATHEMATISCHE ANNALEN, vol.328, no.3, pp.503-523, 2004 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 328 Issue: 3
- Publication Date: 2004
- Doi Number: 10.1007/s00208-003-0504-z
- Journal Name: MATHEMATISCHE ANNALEN
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.503-523
- Open Archive Collection: AVESIS Open Access Collection
- Galatasaray University Affiliated: Yes
Abstract
Some ball-quotient orbifolds are related by covering maps. We exploit these coverings to find infinitely many orbifolds on P-2 uniformized by the complex 2-ball B-2 and some orbifolds over K3 surfaces uniformized by B-2. We also give, along with infinitely many reducible examples, an infinite series of irreducible curves along which P-2 is uniformized by the product of 1-balls B-1 x B-1.