On Modular Ball-Quotient Surfaces of Kodaira Dimension One
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Let be a lattice which is not co-ompact, of finite covolume with respect to the Bergman metric and acting freely on the open unit ball . Then the toroidal compactification is a projective smooth surface with elliptic compactification divisor . In this short note we discover a new class of unramifed ball quotients . We consider ball quotients with kod and . We prove that each minimal surface with finite Mordell-Weil group in the class described admits an étale covering which is a pull-back of . Here denotes the elliptic modular surface parametrizing elliptic curves with 6-torsion points which generate [6].
1999 ◽
Vol 42
(1)
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pp. 97-103
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1999 ◽
Vol 129
(2)
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pp. 343-349
1990 ◽
Vol 33
(2)
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pp. 169-180
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1995 ◽
Vol 47
(4)
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pp. 673-683
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1979 ◽
Vol 31
(1)
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pp. 9-16
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1979 ◽
Vol 31
(1)
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pp. 79-86
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1994 ◽
Vol 49
(2)
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pp. 249-256
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1980 ◽
Vol 21
(2)
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pp. 199-204
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