Non-divisible cycles on surfaces over local fields

DOI10.1016/j.jnt.2004.08.015zbMath1074.19002OpenAlexW1989380065MaRDI QIDQ2569016

Kanetomo Sato

Publication date: 17 October 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.08.015

zbMATH Keywords

Chow groupssemistable reductionMilnor \(K\)-groupsreciprocity mapdeformation of degenerate hypersurfacessurfaces over local fieldsunramified class theory

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Geometric class field theory (11G45) Varieties over finite and local fields (11G25) Algebraic cycles (14C25) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (7)

Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory ⋮ The kernel of the reciprocity map of simple normal crossing varieties over finite fields ⋮ Motivic homology and class field theory over \(p\)-adic fields ⋮ On integral class field theory for varieties over \(p\)-adic fields ⋮ On the kernel of the reciprocity map of simple normal crossing varieties over finite fields ⋮ Class field theory for a product of curves over a local field ⋮ The Brauer–Manin pairing, class field theory, and motivic homology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Tate conjecture for ordinary K 3 surfaces over finite fields
• Unramified class field theory over function fields in several variables
• Global smoothings of varieties with normal crossings
• Torsion dans le groupe de Chow de codimension deux
• Class field theory for curves over local fields
• \(p\)-adic étale cohomology
• Continuous étale cohomology
• Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties
• Log smooth deformation theory
• Finiteness theorems in the class field theory of varieties over local fields.
• Kato homology of arithmetic schemes and higher class field theory over local fields
• Zero cycles on conic fibrations and a conjecture of Bloch
• On the reciprocity map for a surface fibered in conics defined over a local field
• On the kernel of the reciprocity map of normal surfaces over finite fields
• Algebraic K-theory and classfield theory for arithmetic surfaces
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• A note on Gersten's conjecture for logarithmic Hodge-Witt sheaves
• Unramified class field theory of arithmetical surfaces
• Étale duality for constructible sheaves on arithmetic schemes
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• THE NORM RESIDUE HOMOMORPHISM OF DEGREE THREE
• A Hasse principle for two dimensional global fields.
• Values of Zeta Functions of Varieties Over Finite Fields
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Logarithmic structures of Fontaine-Illusie. II
• Sur la théorie des corps de classes pour les variétés sur les corps p-adiques
• On the Structure of Compact Complex Analytic Surfaces, I

This page was built for publication: Non-divisible cycles on surfaces over local fields