Vanishing of negative -theory in positive characteristic

DOI10.1112/S0010437X14007301zbMath1301.19001arXiv1112.5206OpenAlexW3122479026MaRDI QIDQ2921073

Shane P. Kelly

Publication date: 30 September 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5206

zbMATH Keywords

homotopy \(K\)-theoryalterationsnegative \(K\)-theory

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Negative (K)-theory, NK and Nil (19D35) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (11)

The Gysin triangle via localization and 𝐴¹-homotopy invariance ⋮ cdh descent in equivariant homotopy \(K\)-theory ⋮ Algebraic \(K\)-theory and descent for blow-ups ⋮ A BETTER COMPARISON OF - AND -COHOMOLOGIES ⋮ Cohomology of presheaves with oriented weak transfers ⋮ On the vanishing of relative negative K-theory ⋮ Triangulated categories of relative 1-motives ⋮ On the vanishing of negative homotopy \(K\)-theory ⋮ The slice spectral sequence for singular schemes and applications ⋮ Motivic Decomposition for Relative Geometrically Cellular Stacks ⋮ K-theory of valuation rings

Cites Work

• K-theory and analytic isomorphisms
• Descent properties of homotopy \(K\)-theory
• Descent by blow-ups for homotopy invariant \(K\)-theory
• Homotopy theory of simplicial sheaves in completely decomposable topologies
• Unstable motivic homotopy categories in Nisnevich and cdh-topologies
• Cyclic homology, cdh-cohomology and negative \(K\)-theory
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Algebraic $K$-theory and etale cohomology
• The spectral sequence relating algebraic K-theory to motivic cohomology
• On the vanishing of negative \(K\)-groups

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