Geodesic
Algebraic $K$-theory and cubical descent
Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 5-25.

Voir la notice de l'article provenant de la source International Press of Boston

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, $\mathcal{K}D(X)$, which coincides with $\mathcal{K}(X)$ 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.
DOI : 10.4310/HHA.2009.v11.n2.a2
Classification : 18G60, 19D55
Keywords: algebraic $K$-theory, descent, weight filtration 
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Pere Pascual; Llorenç Rubió Pons. Algebraic $K$-theory and cubical descent. Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 5-25. doi : 10.4310/HHA.2009.v11.n2.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a2/

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