Abstract
In this note we apply the Guillén-Navarro descent theorem to define a descent variant of the algebraic $K$-theory of varieties over a field of characteristic zero, $KD(X)$, which coincides with $K(X)$ for smooth varieties and to prove that there is a natural weight filtration on the groups $KD*(X)$. After a result of Haesemeyer, we deduce that this theory is equivalent to the homotopy algebraic $K$-theory introduced by Weibel.
Citation
Pere Pascual. Llorenç Rubió Pons. "Algebraic $K$-theory and cubical descent." Homology Homotopy Appl. 11 (2) 5 - 25, 2009.
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