Class formations and higher dimensional local class field theory

DOI10.1006/jnth.1997.2048zbMath0870.11072OpenAlexW2045592129MaRDI QIDQ676214

Michael Spiess

Publication date: 11 September 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2048

zbMATH Keywords

motivic cohomologyconstruction of the reciprocity mapgeneralized class formationhigher dimensional local class field theory

Mathematics Subject Classification ID

Class field theory; (p)-adic formal groups (11S31) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (2)

Local abelian Kato-Parshin reciprocity law: A survey ⋮ Generalised Kawada-Satake method for Mackey functors in class field theory

Cites Work

• Galois cohomology and the Brauer group of local fields
• Algebraic cycles and higher K-theory
• \(p\)-adic étale cohomology
• A generalization of class formation by using hypercohomology
• A generalization of Tate-Nakayama theorem by using hypercohomology
• The construction of weight-two arithmetic cohomology
• Values of zeta-functions at non-negative integers
• Local class field theory
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