论文标题
有限定理，用于大型除数的补充
Finiteness theorems for complements of large divisors
论文作者
论文摘要
我们证明了在有限生成的特征零字段的投射品种中大型除数的补充的积分点上的有限结果。为此，我们证明了使用Wang的函数字段子空间定理证明了Corvaja-Zannier和Levin的算术有限性结果的函数字段类似物。然后，我们使用一种用evertse-győry的方法来结论来自已知有限的数字结果的有限生成的字段的积分点的有限性。
We prove finiteness results on integral points on complements of large divisors in projective varieties over finitely generated fields of characteristic zero. To do so, we prove a function field analogue of arithmetic finiteness results of Corvaja-Zannier and Levin using Wang's function field Subspace Theorem. We then use a method of Evertse-Győry for concluding finiteness of integral points over finitely generated fields from known finiteness results over number fields.
