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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  and
WING-KEUNG TO
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

32H0232M15
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 657 - 672
Copyright
The London Mathematical Society 2006

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