Hilbert symbol in a discrete valuated field

DOI10.1007/BF01476113zbMath0486.12007OpenAlexW2011308602MaRDI QIDQ1164671

Sergei Vostokov

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01476113

zbMATH Keywords

Hilbert symbolcomplete discrete valued fieldsnorm residue

Mathematics Subject Classification ID

Units and factorization (11R27) Other nonanalytic theory (11S85) Valued fields (12J10)

Related Items (6)

Pairings in local fields and cryptography ⋮ Algebraic number fields ⋮ Skew-symmetric pairing on polynomial formal modules ⋮ The explicit reciprocity law and the cohomology of Fontaine-Messing ⋮ Shafarevich's paper “A general reciprocity law” ⋮ Norm pairing in a two-dimensional local field

Cites Work

• On the law of reciprocity in an algebraic number field
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