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arXiv · 1006.1306

On essentially large divisors

Gordon Heier·Min Ru
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Abstract

Motivated by the classical Theorems of Picard and Siegel and their generalizations, we define the notion of an {\it essentially large} effective divisor and derive some of its geometric and arithmetic consequences. We then prove that on a nonsingular projective variety $X$ whose codimension is no greater than $\dim X-2$, every effective divisor with $\dim X +2$ or more components in general position is essentially large.

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Gordon Heier, Min Ru. 2010-06-07. On essentially large divisors. https://arxiv.org/abs/1006.1306

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