HIGHER IDELES AND CLASS FIELD THEORY

DOI10.1017/nmj.2018.34zbMath1436.11076arXiv1804.00603OpenAlexW2963089620WikidataQ129142007 ScholiaQ129142007MaRDI QIDQ5112750

Yigeng Zhao, Moritz Kerz

Publication date: 8 June 2020

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00603

Mathematics Subject Classification ID

Geometric class field theory (11G45) Étale and other Grothendieck topologies and (co)homologies (14F20) Class field theory (11R37) Homotopy theory and fundamental groups in algebraic geometry (14F35) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (2)

Reciprocity for Kato-Saito idele class group with modulus ⋮ A local to global principle for higher zero-cycles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chow group of 0-cycles with modulus and higher-dimensional class field theory
• The kernel of the reciprocity map of varieties over local fields
• Duality via cycle complexes
• Cohomological Hasse principle and motivic cohomology for arithmetic schemes
• Motivic cohomology over Dedekind rings
• La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
• The Gersten conjecture for Milnor \(K\)-theory
• \(\ell \)-adic class field theory for regular local rings
• Class field theory for curves over local fields
• \(p\)-adic étale cohomology
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Kato homology of arithmetic schemes and higher class field theory over local fields
• The \(K\)-theory of fields in characteristic \(p\)
• Unramified class field theory of arithmetical surfaces
• Ideles in higher dimension
• Étale duality for constructible sheaves on arithmetic schemes
• Logarithmic Hodge-Witt sheaves on normal crossing varieties
• Values of Zeta Functions of Varieties Over Finite Fields
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky
• Higher Chow groups with modulus and relative Milnor $K$-theory
• Duality for relative logarithmic de Rham–Witt sheaves and wildly ramified class field theory over finite fields
• Class field theory for open curves over local fields

This page was built for publication: HIGHER IDELES AND CLASS FIELD THEORY