论文标题
四分之一表面的分离
Separation of periods of quartic surfaces
论文作者
论文摘要
我们在代数数字上定义的给定四分之一表面的两个不同周期之间给出了可计算的下限。主要成分是确定Noether-Lefschetz基因座的组件上的高度边界。这使得可以研究四分之一表面周期的二磷特性，并证明其PICARD组的数值计算的一部分。
We give a computable lower bound on the distance between two distinct periods of a given quartic surface defined over the algebraic numbers. The main ingredient is the determination of height bounds on components of the Noether--Lefschetz loci. This makes it possible to study the Diophantine properties of periods of quartic surfaces and to certify a part of the numerical computation of their Picard groups.
