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EFFECTIVE BOUNDS ON HOLOMORPHIC MAPPINGS INTO COMPLEX HYPERBOLIC MANIFOLDS

Published online by Cambridge University Press:  04 January 2007

JUN-MUK HWANG
Affiliation:
Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Seoul 130-722, Koreajmhwang@kias.re.kr
WING-KEUNG TO
Affiliation:
Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543mattowk@nus.edu.sg
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Abstract

We give an explicit upper bound on the number of non-constant holomorphic maps from a quasi-projective manifold into a complex hyperbolic manifold of finite volume. This gives an effective version of the results of Sunada and Noguchi.

Keywords

Type
Notes and Papers
Copyright
The London Mathematical Society 2006

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