cdh descent in equivariant homotopy \(K\)-theory

DOI10.25537/dm.2020v25.457-482zbMath1453.14068arXiv1604.06410OpenAlexW2614126436MaRDI QIDQ2186945

Marc Hoyois

Publication date: 10 June 2020

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

Full work available at URL: https://arxiv.org/abs/1604.06410

zbMATH Keywords

algebraic \(K\)-theoryalgebraic stacks

Mathematics Subject Classification ID

Motivic cohomology; motivic homotopy theory (14F42) Generalizations (algebraic spaces, stacks) (14A20) Stacks and moduli problems (14D23) Karoubi-Villamayor-Gersten (K)-theory (19D25)

Related Items (14)

THE TOM DIECK SPLITTING THEOREM IN EQUIVARIANT MOTIVIC HOMOTOPY THEORY ⋮ Algebraic cobordism and étale cohomology ⋮ η$\eta$‐Periodic motivic stable homotopy theory over Dedekind domains ⋮ \(K\)-theory and \(G\)-theory of derived algebraic stacks ⋮ Localizations and completions of stable \(\infty\)-categories ⋮ K‐theory Soergel bimodules ⋮ \(\mathbb{A}^1\)-connected components of classifying spaces and purity for torsors ⋮ Algebraic \(K\)-theory of quasi-smooth blow-ups and cdh descent ⋮ Cancellation theorem for motivic spaces with finite flat transfers ⋮ Cdh descent for homotopy Hermitian \(K\)-theory of rings with involution ⋮ THE UNIT MAP OF THE ALGEBRAIC SPECIAL LINEAR COBORDISM SPECTRUM ⋮ Derived Azumaya algebras and twisted \(K\)-theory ⋮ Springer motives ⋮ Hermitian K-theory via oriented Gorenstein algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The six operations in equivariant motivic homotopy theory
• \(K\)-theory and the bridge from motives to noncommutative motives
• On the vanishing of negative homotopy \(K\)-theory
• Tame stacks in positive characteristic
• Algebraic \(K\)-theory and descent for blow-ups
• Algebraic \(K\)-theory of quotient stacks
• Descent properties of homotopy \(K\)-theory
• Descent by blow-ups for homotopy invariant \(K\)-theory
• Vanishing theorems for the negative \(K\)-theory of stacks
• Cyclic homology, cdh-cohomology and negative \(K\)-theory
• Algebraic groups and compact generation of their derived categories of representations
• Existence and properties of geometric quotients
• Nisnevich descent forK-theory of Deligne-Mumford stacks
• Vanishing of negative -theory in positive characteristic
• Tensor generators on schemes and stacks
• Higher Topos Theory (AM-170)
• \(\mathbb{A}^1\)-homotopy theory of schemes

This page was built for publication: cdh descent in equivariant homotopy \(K\)-theory