Portal de Periódicos da CAPES

Poitou–Tate duality over extensions of global fields

2012; Elsevier BV; Volume: 132; Issue: 11 Linguagem: Inglês

10.1016/j.jnt.2012.05.007

1096-1658

Meng Fai Lim,

Algebraic structures and combinatorial models

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–Tateʼs exact sequence.