Algebraic K-theory and cubical descent

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dc.creatorGainza, Pere Pascual
dc.creatorPons, Llorenc Rubio i
dc.date2007-06-15
dc.date2007-10-04
dc.date.accessioned2026-07-07T08:33:57Z
dc.date.available2026-07-07T08:33:57Z
dc.descriptionIn this note we apply Guillen-Navarro descent theorem, \cite{GN02}, to define a descent variant of the algebraic $K$-theory of varieties over a field of characteristic zero, $\mathcal{KD}(X)$, which coincides with $\mathcal{K}(X)$ for smooth varieties. After a result of Haesemeyer, this new theory is equivalent to the homotopy algebraic $K$-theory introduced by Weibel. We also prove that there is a natural weight filtration on the groups $KH_\ast(X)$.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0706.2257
dc.identifierhttp://arxiv.org/abs/0706.2257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139269
dc.subjectAlgebraic Geometry
dc.subject14, 19
dc.titleAlgebraic K-theory and cubical descent
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