Poitou-Tate duality over extensions of global fields

DOI10.1016/j.jnt.2012.05.007zbMath1317.11114arXiv1104.1484OpenAlexW2039916280MaRDI QIDQ452396

Meng Fai Lim

Publication date: 21 September 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1484

zbMATH Keywords

Galois cohomologyglobal fieldsPoitou-Tate dualityPontryagin dual

Mathematics Subject Classification ID

Galois cohomology (11S25) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (6)

Class groups and local indecomposability for non-CM forms ⋮ $\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮ Nonabelian reciprocity laws and higher Brauer-Manin obstructions ⋮ Reciprocity maps with restricted ramification ⋮ Level compatibility in the passage from modular symbols to cup products ⋮ On spectral sequences for Iwasawa adjoints à la Jannsen for families

Cites Work

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• Nekovár duality over \(p\)-adic Lie extensions of global fields
• The main conjecture of Iwasawa theory for totally real fields
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• Toward equivariant Iwasawa theory. II.
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Pontryagin Duality for Topological Modules

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