论文标题
阶级田地理论和算术在本地领域
Class Field Theory and Arithmetic of Abelian Varieties over Local Fields
论文作者
论文摘要
我们使用当地领域的知识来适应乔纳森·卢宾（Jonathan Lubin）和迈克尔·罗森（Michael Rosen）的Mazur命题4.39的证明。这改变了阿伯利亚品种的结果，从仅在具有有限残基领域的本地领域工作到与具有阳性特征的任意完美残基领域的本地场。然后，我们简要讨论此类信息的本地阶级领域理论含义
We use knowledge of local fields to adapt Jonathan Lubin and Michael Rosen's proof of Mazur's Proposition 4.39. This changes the result about abelian varieties from only working over local fields with a finite residue field to working with local fields with an arbitrary perfect residue field of positive characteristic. We then briefly discuss the Local Class Field Theory implications of such information
