Covering relations between ball-quotient orbifolds


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Uludag A.

MATHEMATISCHE ANNALEN, cilt.328, ss.503-523, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 328 Konu: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1007/s00208-003-0504-z
  • Dergi Adı: MATHEMATISCHE ANNALEN
  • Sayfa Sayıları: ss.503-523

Özet

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.