论文标题
克莱因四分之一的曲折中的哈斯原理的反述
Counter-examples to the Hasse principle among the twists of the Klein quartic
论文作者
论文摘要
在本文中,我们从近距离检查克莱因四分之一的曲折的本地和全球点。对于本地论文,我们使用几何参数,而对于全球论文,我们强烈使用了曲折的模块化解释。主要的结果是为家庭提供了克莱因四分之一的曲折(无限猜想的)曲折,这些曲折是对哈斯原则的反述。
In this paper we inspect from closer the local and global points of the twists of the Klein quartic. For the local ones we use geometric arguments, while for the global ones we strongly use the modular interpretation of the twists. The main result is providing families with (conjecturally infinitely many) twists of the Klein quartic that at counter-examples to the Hasse principle.