论文标题
全球领域的雪佛兰 - 格拉斯公式
The Chevalley-Gras formula over global fields
论文作者
论文摘要
在本文中，我们给出了全球领域的Chevalley-Gras公式的Adelic证明，这本身就是模棱两可的班级公式的概括。这个想法是将公式降低到Hasse Norm定理，本地和全球互惠法。我们还提供了chevalley-gras公式的Adelic证明，以$ 0 $ -th的Divisor类组中的$ 0，这扩展了Rosen的结果。
In this article we give an adelic proof of the Chevalley-Gras formula for global fields, which itself is a generalization of the ambiguous class number formula. The idea is to reduce the formula to the Hasse norm theorem, the local and global reciprocity laws. We also give an adelic proof of the Chevalley-Gras formula for $0$-th divisor class group in the function field case, which extends a result of Rosen.
