Descent by blow-ups for homotopy invariant \(K\)-theory
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Publication:1947635
DOI10.4007/annals.2013.177.2.2zbMath1264.19003arXiv1003.1487OpenAlexW3098723413MaRDI QIDQ1947635
Publication date: 23 April 2013
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.1487
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Cites Work
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- On the negative \(K\)-theory of schemes in finite characteristic
- On the motivic spectra representing algebraic cobordism and algebraic \(K\)-theory
- Operations on algebraic \(K\)-theory and regulators via the \(A^1\)-homotopy theory
- \(\mathbb{A}^1\)-homotopy theory
- K-theory and analytic isomorphisms
- Motivic symmetric spectra
- Descent properties of homotopy \(K\)-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
- CatĂ©gorie homotopique stable dâun site suspendu avec intervalle
- Algebraic K -theory, A 1 -homotopy and Riemann-Roch theorems
- The Bott inverted infinite projective space is homotopy algebraic K -theory
- On Voevodsky's Algebraic K-Theory Spectrum
- \(\mathbb{A}^1\)-homotopy theory of schemes
- Spectra and symmetric spectra in general model categories
- On the vanishing of negative \(K\)-groups