Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions

DOI10.1007/978-3-319-45032-2_12zbMath1409.11107arXiv1511.04922OpenAlexW2210140437MaRDI QIDQ5273378

Otmar Venjakob, Peter Schneider

Publication date: 6 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04922

zbMATH Keywords

Coleman power series\(p\)-adic Hodge theoryexplicit reciprocity lawLubin-Tate formal groupsramified Witt vectorsArtin-Schreier pairingCoates-Wiles homomorphismsSchmidt-Witt residue formula

Mathematics Subject Classification ID

Galois cohomology (11S25) Langlands-Weil conjectures, nonabelian class field theory (11S37) Class field theory; (p)-adic formal groups (11S31)

Related Items

Interpolation of generalized Heegner cycles in Coleman families ⋮ Iwasawa theory and \(F\)-analytic Lubin-Tate \((\varphi,\Gamma)\)-modules ⋮ Herr‐complexes in the Lubin–Tate setting ⋮ Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules ⋮ Supersingular Hecke modules as Galois representations ⋮ A note on multivariable \((\varphi ,\Gamma )\)-modules ⋮ Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves ⋮ COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS ⋮ Galois cohomology for Lubin-Tate \((\varphi_q,\Gamma_{LT})\)-modules over coefficient rings

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