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arXiv 1006.1306math.AGmath.CVmath.NT
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关于本质大因子

On essentially large divisors

Gordon Heier, Min Ru

摘要:

受经典的Picard和Siegel定理及其推广的启发,我们定义了{ \it本质大}有效因子的概念,并导出了它的一些几何和算术结果.证明了在余维数不大于$\dim X-2$的非奇异射影簇$X$上,每个在一般位置有$\dim X +2$或多个分量的有效因子本质大.

英文摘要:

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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