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Hyperbolicity of
surfaces modulo rational and elliptic curves
Caroline Galt Grant |
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Vol. 139 (1989), No. 2, 241–249
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Abstract |
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Let X be a smooth compact complex surface of general type and let D be the union of all rational and elliptic curves in X. If there exist a complex torus T of dimension ≥ 2 and a nontrivial holomorphic map X → T whose image contains no elliptic curves then X is hyperbolic modulo D. In particular, if X has irregularity h0(X,ΩX1) ≥ 2 and its Albanese variety is not isogenous to a product of elliptic curves then X is hyperbolic modulo D. |
Mathematical Subject Classification 2000
Primary: 32H20
Secondary: 32H25
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Milestones
Received: 21 January 1988
Published: 1 October 1989
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Authors |
| Caroline Galt Grant | |
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