Poitou-Tate duality over extensions of global fields

JOURNAL OF NUMBER THEORY

卷:132

Article

Lim, Meng Fai

关键词: Poitou-Tate duality;    Pontryagin dual;    Galois cohomology;    Global fields;   

DOI  :  10.1016/j.jnt.2012.05.007

来源: Elsevier

【 摘 要 】

In this paper, we are interested in the Poitou-Tate duality in Galois cohomology. We will formulate and prove a theorem for a nice class of modules (with a continuous Galois action) over a pro-p ring. The theorem will comprise of the Tate local duality. Poitou-Tate duality and the Poitou-Tate's exact sequence. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free