Holomorphic Curves and Integral Points off Divisors

Details Holomorphic Curves and Integral Points off Divisors Holomorphic Curves and Integral Points off Divisors

1999-02-02

arxiv.org/abs/math/9902014v1

Mathematics

Complex Variables

LaTeX, 18 pages

Scientific paper

We deal with the distributions of holomorphic curves and integral points off divisors. We will simultaneouly prove an optimal dimension estimate from above of a subvariety W off a divisor D which contains a Zariski dense entire holomorphic curve, or a Zariski dense D-integral point set, provided that in the latter case everything is defined over a number field. Then, if the number of components of D is large, the estimate leads to the constancy of such a holomorphic curve or the finiteness of such an integral point set. At the begining, we extend logarithmic Bloch-Ochiai's Theorem to the Kaehler case.

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