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Motivic cohomology: applications and conjectures - MaRDI portal

Motivic cohomology: applications and conjectures (Q5197954)

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scientific article; zbMATH DE number 7111712

Language	Label	Description	Also known as
English	Motivic cohomology: applications and conjectures	scientific article; zbMATH DE number 7111712

Statements

scholarly article

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Motivic cohomology: applications and conjectures (English)

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Sugaku Expositions

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publication date

2 October 2019

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/suga/443

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K<sub>2</sub>of artinian Q-algebras, with application to algebraic cycles

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Algebraic cycles and higher K-theory

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\(p\)-adic étale cohomology

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Stable real cohomology of arithmetic groups

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Duality in the étale cohomology of one-dimensional proper schemes and generalizations

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The spectral sequence relating algebraic K-theory to motivic cohomology

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Tate's conjecture, algebraic cycles and rational \(K\)-theory in characteristic \(p\)

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Motivic cohomology over Dedekind rings

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Weil-étale cohomology over finite fields

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Arithmetic cohomology over finite fields and special values of \(\zeta\)-functions

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Arithmetic homology and an integral version of Kato's conjecture

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Duality via cycle complexes

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On Suslin's singular homology and cohomology

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Duality for \(\mathbb Z\)-constructible sheaves on curves over finite fields

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Finite generation conjectures for motivic cohomology theories over finite fields

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Homological descent for motivic homology theories

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Rojtman's theorem for normal schemes

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The \(K\)-theory of fields in characteristic \(p\)

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The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky

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Tame class field theory for singular varieties over algebraically closed fields

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Tame class field theory for singular varieties over finite fields

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Gersten's conjecture for the K-theory with torsion coefficients of a discrete valuation ring

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Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint

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Hasse principles for higher-dimensional fields

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Kato homology of arithmetic schemes and higher class field theory over local fields

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\(K\)-theory of semi-local rings with finite coefficients and étale cohomology

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Sur le groupe des classes d’un schéma arithmétique

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A Hasse principle for two dimensional global fields.

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Unramified class field theory of arithmetical surfaces

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Cohomological Hasse principle and motivic cohomology for arithmetic schemes

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Unramified class field theory over function fields in several variables

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The homotopy coniveau tower

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The Weil-étale topology on schemes over finite fields

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On the kernel of the reciprocity map of normal surfaces over finite fields

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Values of Zeta Functions of Varieties Over Finite Fields

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Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate

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Rational equivalence of O-cycles on surfaces

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The Bloch complex in codimension one and arithmetic duality

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An exact sequence for \(K^M_*/2\) with applications to quadratic forms

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Higher algebraic K-theory: I

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The torsion of the group of 0-cycles modulo rational equivalence

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Einheiten und Divisorklassen in endlich erzeugbaren Körpern. (Units and divisor classes in finitely generated fields)

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Singular homology of arithmetic schemes

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Singular homology and class field theory of varieties over finite fields

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Groupes de Chow et K-théorie de variétés sur un corps fini

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Opérations En <i>K</i>-Théorie Algébrique

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Artin-Verdier duality for arithmetic surfaces

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On the Albanese map for smooth quasi-projective varieties

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Singular homology of abstract algebraic varieties

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Endomorphisms of Abelian varieties over finite fields

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Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory

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On motivic cohomology with \(\mathbb{Z}/l\)-coefficients

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Comparison of dualizing complexes

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Identifiers

zbMATH Open document ID

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10.1090/suga/443

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5197954

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