The construction of weight-two arithmetic cohomology

DOI10.1007/BF01405097zbMath0615.14004MaRDI QIDQ1820828

Stephen Lichtenbaum

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143450

zbMATH Keywords

dilogarithmalgebraic K-theoryhypercohomology sheaves

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (27)

Hasse's norm theorem for \(K_ 2\) ⋮ Galois descent and \(K_ 2\) of number fields ⋮ Comparaison des homologies du groupe linéaire et de son algèbre de Lie. (Comparison of homologies of a linear group and its Lie algebra) ⋮ Notes on motivic cohomology ⋮ ÉTALE MOTIVIC COHOMOLOGY AND ALGEBRAIC CYCLES ⋮ Local abelian Kato-Parshin reciprocity law: A survey ⋮ The coniveau filtration and non-divisibility for algebraic cycles ⋮ Syntomic regulators and values of \(p\)-adic \(L\)-functions. I. Appendix by Masato Kurihara ⋮ Degree three unramified cohomology of adjoint semisimple groups ⋮ Rost invariant of the center, revisited ⋮ The indecomposable $K_3$ of fields ⋮ Roitman's theorem for singular complex projective surfaces ⋮ Artin-Verdier duality for arithmetic surfaces ⋮ Unnamed Item ⋮ Arithmetics of homogeneous spaces over p$p$‐adic function fields ⋮ Some observations on motivic cohomology of arithmetic schemes ⋮ The first stable homotopy groups of motivic spheres ⋮ A generalization of class formation by using hypercohomology ⋮ Class formations and higher dimensional local class field theory ⋮ A Bloch-Wigner exact sequence over local rings ⋮ The Arason invariant and mod 2 algebraic cycles ⋮ Cycles de codimension 2 etH³non ramifié pour les variétés sur les corps finis ⋮ L'invariant de Suslin en caractéristique positive ⋮ Two comparison theorems in étale cohomology; applications ⋮ MILNOR K-GROUP ATTACHED TO A TORUS AND BIRCH–TATE CONJECTURE ⋮ Abel-Jacobi mappings and finiteness of motivic cohomology groups ⋮ Hasse's norm theorem for \(K_ 2\)

Cites Work

• On the K-theory of algebraically closed fields
• Artin-Verdier duality for \(n\)-dimensional local fields involving higher algebraic \(K\)-sheaves
• Algebraic cycles and higher K-theory
• Relations between \(K_2\) and Galois cohomology
• Products in K-theory and intersecting algebraic cycles
• Algebraic K-theory of generalized free products. I
• The relativization of \(K_2\)
• On the cohomology and K-theory of the general linear groups over a finite field
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• Gersten's conjecture and the homology of schemes
• Unnamed Item

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