Positively ramified extensions of algebraic number fields.
Positively ramified extensions of algebraic number fields.
复制标题
代数数域的正分支扩展。
DOI：
10.1515/crll.1995.458.93
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
A. Schmidt
中科院分区：
文献类型：
--
作者：
A. Schmidt
该证明使用到特征0的升力的存在，并且最终关联流形的拓扑结构暗示了这一结果。对于关于极大准/？因子(p是与特征不同的素数)的结构的较弱的陈述，也有纯粹的代数证明，使用Poincare-对偶和Demushkin群的分类(见[21])。
The proof uses the existence of a lift to characteristic 0 and eventually the topological structure of the associated manifold implies the result. For the substantial weaker Statement about the structure of the maximal pro-/?-factor (p a prime number different to the characteristic) there is also a purely algebraic proof, using Poincare-duality and the classification of Demushkin groups (see [21]).