Class field theory of \(p\)-extensions over a formal power series field with a \(p\)-quasifinite coefficient field

DOI10.3836/TJM/1270214334zbMath0523.12015OpenAlexW2048385689MaRDI QIDQ1056793

Koji Sekiguchi

Publication date: 1983

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270214334

zbMATH Keywords

Witt vectorslocal class field theoryclass formationmaximal abelian p-extensionorthogonal pairingp-extension of formal power series fieldp-quasifinite fieldWitt residue vectors

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Formal power series rings (13F25) Class field theory; (p)-adic formal groups (11S31) Witt vectors and related rings (13F35)

Related Items (4)

Class field theory for strictly quasilocal fields with Henselian discrete valuations ⋮ Generalised Kawada-Satake method for Mackey functors in class field theory ⋮ On abelian \(p\)-extensions of formal power series fields ⋮ The Lubin-Tate theory for formal power series fields with finite coefficient fields

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