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Continuity of the norm map on MilnorK-theory

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Publication:2905338
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DOI10.1017/is011011005jkt166zbMath1263.11106OpenAlexW2103713736MaRDI QIDQ2905338

Matthew Morrow

Publication date: 27 August 2012

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is011011005jkt166


zbMATH Keywords

reciprocitynorm mapunit filtration


Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70) Generalized class field theory ((K)-theoretic aspects) (19F05)


Related Items (4)

Local abelian Kato-Parshin reciprocity law: A survey ⋮ Explicit reciprocity laws for higher local fields ⋮ Higher Chow groups with modulus and relative Milnor $K$-theory ⋮ Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces



Cites Work

  • A reciprocity law for \(K_2\)-traces
  • On the torsion in \(K_ 2\) of local fields
  • Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
  • Explicit reciprocity laws for p-divisible groups over higher dimensional local fields
  • The exponential homomorphisms for the Milnor K-groups and an explicit reciprocity law


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