Rost nilpotence and étale motivic cohomology

DOI10.1016/J.AIM.2018.03.027zbMath1397.14011arXiv1706.06386OpenAlexW2963431623MaRDI QIDQ1644971

Anand Sawant, Andreas Rosenschon

Publication date: 22 June 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06386

zbMATH Keywords

algebraic cyclesmotivic cohomologyRost nilpotence

Mathematics Subject Classification ID

Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (3)

Refined unramified cohomology of schemes ⋮ On Bloch’s map for torsion cycles over non-closed fields ⋮ Rost nilpotence and higher unramified cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomological invariants of algebraic tori
• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• \(K_2\)-cohomology and the second Chow group
• The Rost nilpotence theorem for geometrically rational surfaces
• Algebraic cycles and higher K-theory
• Torsion in \(K_ 2\) of fields
• Chow groups with coefficients
• A short proof of Rost nilpotence via refined correspondences
• Motivic decomposition of isotropic projective homogeneous varieties
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Classes of motivic étale cycles
• The \(K\)-theory of fields in characteristic \(p\)
• On Chow motives of surfaces
• Étale motives
• On the Chow groups of certain rational surfaces
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Duality in the flat cohomology of a surface
• Cycles, Transfers, and Motivic Homology Theories. (AM-143)
• Torification and factorization of birational maps
• The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky
• Joins and Intersections
• Cycles de codimension 2 etH³non ramifié pour les variétés sur les corps finis
• Orientation theory in arithmetic geometry

This page was built for publication: Rost nilpotence and étale motivic cohomology