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The kernel of the reciprocity map of varieties over local fields

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Publication:486429
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DOI10.1515/CRELLE-2012-0122zbMath1348.11053OpenAlexW2012838139MaRDI QIDQ486429

Patrick Forré

Publication date: 15 January 2015

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2119b8e4763331c8af8f05275fd67d14c9bc15ed


zbMATH Keywords

arithmetic schemesabelianized fundamental groupKato's complexKato's conjecturesreciprocity map


Mathematics Subject Classification ID

Geometric class field theory (11G45) Varieties over finite and local fields (11G25) Formal groups, (p)-divisible groups (14L05) Generalized class field theory ((K)-theoretic aspects) (19F05)


Related Items (4)

The kernel of the reciprocity map of simple normal crossing varieties over finite fields ⋮ On integral class field theory for varieties over \(p\)-adic fields ⋮ HIGHER IDELES AND CLASS FIELD THEORY ⋮ Class field theory for open curves over local fields







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