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Covering relations between ball-quotient orbifolds

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Abstract

Some ball-quotient orbifolds are related by covering maps. We exploit these coverings to find infinitely many orbifolds on ℙ2 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 ℙ2 is uniformized by the product of 1-balls B 1 ×B 1 .

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  1. Department of Mathematics, Galatasaray University, 80840, Ortaköy/Istanbul, Turkey

    A. Muhammed Uludağ

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  1. A. Muhammed Uludağ
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Uludağ, A. Covering relations between ball-quotient orbifolds. Math. Ann. 328, 503–523 (2004). https://doi.org/10.1007/s00208-003-0504-z

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