Tower of the maximal abelian extensions of local fields and its application

DOI10.1007/s00229-009-0252-9zbMath1220.11144OpenAlexW2074241497MaRDI QIDQ1016516

Dasheng Wei, Fei Xu

Publication date: 6 May 2009

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

Full work available at URL: https://doi.org/10.1007/s00229-009-0252-9

zbMATH Keywords

local class field theoryprincipal units\(p\)-coverings of local fieldslocal fields of characteristic \(0\)maximal abelian extensions

Mathematics Subject Classification ID

Galois cohomology (11S25) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Cites Work

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• On the local Langlands conjecture for \(\text{GL}_n\)
• Kronecker-Weber plus epsilon.
• On the image of noncommutative local reciprocity map
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Fesenko reciprocity map