Descent properties of homotopy \(K\)-theory

DOI10.1215/S0012-7094-04-12534-5zbMath1079.19001MaRDI QIDQ1766402

Christian Haesemeyer

Publication date: 7 March 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

cdh-descenthomotopy invariant K-theory

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) (K)-theory of schemes (19E08) Negative (K)-theory, NK and Nil (19D35)

Related Items

𝐾-theory of line bundles and smooth varieties ⋮ PRO CDH-DESCENT FOR CYCLIC HOMOLOGY AND -THEORY ⋮ Vanishing of negative -theory in positive characteristic ⋮ Bredon-style homology, cohomology and Riemann-Roch for algebraic stacks ⋮ Fibrant presheaves of spectra and Guillén-Navarro extension ⋮ The KH-theory of complete simplicial toric varieties and the algebraic \(K\)-theory of weighted projective spaces ⋮ cdh descent in equivariant homotopy \(K\)-theory ⋮ A descent principle for compactly supported extensions of functors ⋮ Algebraic \(K\)-theory and descent for blow-ups ⋮ Continuous \(K\)-theory and cohomology of rigid spaces ⋮ Descent by blow-ups for homotopy invariant \(K\)-theory ⋮ Algebraic \(K\)-theory of quasi-smooth blow-ups and cdh descent ⋮ On the vanishing of relative negative K-theory ⋮ Negative 𝐾-theory and Chow group of monoid algebras ⋮ On a conjecture of Vorst ⋮ The slice spectral sequence for singular schemes and applications ⋮ \(K\)-theory of toric varieties revisited ⋮ Bass' \(NK\) groups and \(cdh\)-fibrant Hochschild homology ⋮ THH and TC are (very) far from being homotopy functors ⋮ $K$-regularity, $cdh$-fibrant Hochschild homology, and a conjecture of Vorst ⋮ On the vanishing of negative \(K\)-groups ⋮ On the negative \(K\)-theory of schemes in finite characteristic ⋮ Topological K-theory of complex noncommutative spaces ⋮ The 𝐾-theory of toric varieties ⋮ The Witt group of real algebraic varieties ⋮ K-theory of valuation rings ⋮ On the \(K\)-theory of pullbacks ⋮ Suslin homology via cycles with modulus and applications

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