Nekovár duality over \(p\)-adic Lie extensions of global fields

zbMath1362.11089arXiv1104.1230MaRDI QIDQ374010

Meng Fai Lim, Romyar T. Sharifi

Publication date: 25 October 2013

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1230

zbMATH Keywords

Galois cohomologyGrothendieck dualityPoitou-Tate dualityTate duality

Mathematics Subject Classification ID

Galois cohomology (11S25) Galois cohomology (12G05) Iwasawa theory (11R23) Galois cohomology (11R34) Derived categories and associative algebras (16E35)

Related Items (15)

Exterior powers in Iwasawa theory ⋮ Class groups and local indecomposability for non-CM forms ⋮ On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions ⋮ $\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮ Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮ On the growth of even \(K\)-groups of rings of integers in \(p\)-adic Lie extensions ⋮ Reciprocity maps with restricted ramification ⋮ Ordinary pseudorepresentations and modular forms ⋮ Poitou-Tate duality over extensions of global fields ⋮ A note on asymptotic class number ppper bounds in \(p\)-adic Lie extensions ⋮ On spectral sequences for Iwasawa adjoints à la Jannsen for families ⋮ Constructing plus/minus local points over Iwasawa Kummer extensions, and Iwasawa theory for supersingular reduction ⋮ Some remarks on Kida's formula when \(\mu\neq 0\) ⋮ On the Iwasawa asymptotic class number formula for $\mathbb {Z}_{p}^r\rtimes \mathbb {Z}_{p}$-extensions ⋮ Generalized Bockstein maps and Massey products

This page was built for publication: Nekovár duality over \(p\)-adic Lie extensions of global fields