1999/02/02 by Junjirō Noguchi, Junjiro Noguchi, Noguchi, Junjiro +2 · 1 citation
Mathematics · #32H20 #32H25 #32H30 14G0 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.CV #math.NT #msc:14G0 #msc:32H20 #msc:32H25 #msc:32H30
paper · pdf · doi:10.48550/arxiv.math/9902014
LaTeX, 18 pages
arxiv created 1999/02/02 · openalex publication_date 1999/02/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.