Abstract.
We deal with the distributions of holomorphic curves and integral points off divisors. We will simultaneously 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 beginning, we extend logarithmic Bloch-Ochiai's Theorem to the Kähler case.
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Received: 10 January 2000 / Published online: 18 January 2002
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Noguchi, J., Winkelmann, J. Holomorphic curves and integral points off divisors. Math Z 239, 593–610 (2002). https://doi.org/10.1007/s002090100327
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DOI: https://doi.org/10.1007/s002090100327