论文标题
晶格和哈斯原理的异构体
Isometries of lattices and Hasse principles
论文作者
论文摘要
我们为整体多项式提供了必要的条件,而没有线性因子是某些均匀的,单型晶格的均匀分析的特征多项式。这引起了HASSE原理问题,我们在更一般的环境中回答。作为一种应用,我们证明了一个结的签名。
We give necessary and sufficient conditions for an integral polynomial without linear factors to be the characteristic polynomial of an isometry of some even, unimodular lattice of given signature. This gives rise to Hasse principle questions, which we answer in a more general setting. As an application, we prove a Hasse principle for signatures of knots.