论文标题

施密特的子空间定理的一些概括

Some generalizations of Schmidt's subspace theorem

论文作者

Quang, Si Duc

论文摘要

本文的目的是双重的。首先是为施密特的较高程度多项式家庭提供施密特的子空间定理的定量版本。第二个是为代数投影品种中封闭式化的任意家族的任意家族进行子空间定理的概括。

The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace theorem for arbitrary families of higher degree polynomials. The second is to give a generalization of the subspace theorem for arbitrary families of closed subschemes in algebraic projective varieties.

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