\(\ell \)-adic class field theory for regular local rings

DOI10.1007/s00208-008-0309-1zbMath1190.11037arXiv0709.3628OpenAlexW2121985068MaRDI QIDQ1014216

Kanetomo Sato

Publication date: 27 April 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3628

zbMATH Keywords

higher-dimensional local class field theorylocalized Chern class maps

Mathematics Subject Classification ID

Geometric class field theory (11G45) Generalized class field theory ((K)-theoretic aspects) (19F05)

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HIGHER IDELES AND CLASS FIELD THEORY ⋮ A local to global principle for higher zero-cycles

Cites Work

• \(p\)-adic étale cohomology
• Relations between \(K_2\) and Galois cohomology
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Theory of tubular neighborhood in étale topology
• A Hasse principle for three-dimensional complete local rings of positive characteristic
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• THE NORM RESIDUE HOMOMORPHISM OF DEGREE THREE
• Gersten's conjecture and the homology of schemes
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