Unramified class field theory of arithmetical surfaces
From MaRDI portal
Publication:2266752
DOI10.2307/2007029zbMath0562.14011OpenAlexW4252551223MaRDI QIDQ2266752
Publication date: 1983
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2007029
reciprocity0- dimensional Chow groupAbelian fundamental groupabelian unramified coveringsarithmetical surfacesunramified class field theory of arithmetical surfaces
Parametrization (Chow and Hilbert schemes) (14C05) Coverings of curves, fundamental group (14H30) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Coverings in algebraic geometry (14E20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)
Related Items
Class field theory for curves over local fields, Rational equivalence on adjoint groups of type 𝐷_{𝑛} over fields of virtual cohomological dimension 2, Duality in the étale cohomology of one-dimensional proper schemes and generalizations, Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields, The dimension of fields and algebraic \(K\)-theory, Arithmetic on two dimensional local rings, Covering data and higher dimensional global class field theory, Sur la partie p-primaire du groupe de chow de codimension deux, A generalization of Serre's condition (F) with applications to the finiteness of unramified cohomology, GEOMETRIC LOCAL -FACTORS IN HIGHER DIMENSIONS, On a conjecture of Kato and Kuzumaki, Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory, On Milnor K-groups attached to semi-Abelian varieties, A note on p-adic étale cohomology, Arakelov motivic cohomology II, Reciprocity for Kato-Saito idele class group with modulus, Abelian extensions of an absolutely unramified local field with general residue field, Artin-Verdier duality for arithmetic surfaces, Tame class field theory for singular varieties over finite fields, Divisibility results for zero-cycles, Some consequences of Wiesend's higher dimensional class field theory, Class field theory for arithmetic schemes, The \(R\)-equivalence on reductive algebraic groups defined over a global field, The kernel of the reciprocity map of simple normal crossing varieties over finite fields, Finiteness theorems in the class field theory of varieties over local fields., On Bloch’s map for torsion cycles over non-closed fields, A finiteness theorem for zero-cycles over \(p\)-adic fields, Abelian geometric fundamental groups for curves over a \(p\)-adic field, On integral class field theory for varieties over \(p\)-adic fields, Brauer-Manin obstruction for zero-cycles on certain varieties, A higher-dimensional generalization of Lichtenbaum duality in terms of the Albanese map, On the kernel of the reciprocity map of simple normal crossing varieties over finite fields, ZERO-CYCLES ON NORMAL PROJECTIVE VARIETIES, HIGHER IDELES AND CLASS FIELD THEORY, Motivic cohomology and \(K\)-theory of some surfaces over finite fields, Derived log Albanese sheaves, First and second K-groups of an elliptic curve over a global field of positive characteristic, Characteristic class and the 𝜖-factor of an étale sheaf, Zero cycles on fibrations over a curve of arbitrary genus, A local to global principle for higher zero-cycles, The degree three unramified cohomology group of Fano hypersurfaces, Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion), The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero, On the relative twist formula of \(\ell\)-adic sheaves, Class field theory for a product of curves over a local field, Cohomological Hasse principle and motivic cohomology for arithmetic schemes, Arithmetic homology and an integral version of Kato's conjecture, Analysis on arithmetic schemes. II, Cycles on curves over global fields of positive characteristic, Geometric two‐dimensional idèles with cycle module coefficients, Voevodsky's motives and Weil reciprocity, Non-abelian class field theory for arithmetic surfaces, $R$-equivalence in adjoint classical groups over fields of virtual cohomological dimension $2$, Tame class field theory for arithmetic schemes, Class field theory for open curves over \(p\)-adic fields, Motivic cohomology: applications and conjectures, Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces, Albanese kernels and Griffiths groups, Zero-Cycles on Varieties Over Finite Fields, Galois equivariance and stable motivic homotopy theory, Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique, Zero-cycle groups on algebraic varieties, The Brauer–Manin pairing, class field theory, and motivic homology, Non-divisible cycles on surfaces over local fields, Galois symbol maps for abelian varieties over a $p$-adic field, Torsion dans le groupe de Chow de codimension deux
