论文标题
关于哈斯原则的分析观点
An analytic viewpoint on the Hasse principle
论文作者
论文摘要
在Berkovich分析曲线上工作，我们提出了一种几何方法，用于研究Hasse原理，而不是完全离散值的曲线的功能场。使用它，我们显示了Hasse原理将为某些投射均匀空间的家庭进行验证。结果，我们还在已经知道的二次形式和单一群体的统一品种的情况下获得了上述原则。
Working on Berkovich analytic curves, we propose a geometric approach to the study of the Hasse principle over function fields of curves defined over a complete discretely valued field. Using it, we show the Hasse principle to be verified for certain families of projective homogeneous spaces. As a consequence, we also obtain said principle in the already known cases of quadratic forms and homogeneous varieties over unitary groups.
