Holomorphic Curves and Integral Points off Divisors

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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.
LaTeX, 18 pages

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Complex Variables, Number Theory, 32H20, 32H25, 32H30 14G0

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http://salesiana.dossiersoluciones.com/handle/123456789/78040

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902014
 http://arxiv.org/abs/math/9902014

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arXiv