A generalization of class formation by using hypercohomology

DOI10.1007/BF01231522zbMath0751.11055OpenAlexW2036435446MaRDI QIDQ1174955

Yoshihiro Koya

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143823

zbMATH Keywords

complete discrete valuation fieldstwo-dimensional local fieldsisomorphism theoremclass fieldclass formationsTate-Nakayama theorem

Mathematics Subject Classification ID

Class field theory; (p)-adic formal groups (11S31) (Co)homology theory in algebraic geometry (14F99)

Related Items (9)

Hasse's norm theorem for \(K_ 2\) ⋮ Abelian local \(p\)-class field theory ⋮ Local abelian Kato-Parshin reciprocity law: A survey ⋮ Artin-Verdier duality for arithmetic surfaces ⋮ Class formations and higher dimensional local class field theory ⋮ Generalised Kawada-Satake method for Mackey functors in class field theory ⋮ On a duality theorem for abelian varieties over higher dimensional local fields. ⋮ A generalization of Tate-Nakayama theorem by using hypercohomology ⋮ Hasse's norm theorem for \(K_ 2\)

Cites Work

• The construction of weight-two arithmetic cohomology
• Values of zeta-functions at non-negative integers
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