Now showing items 1-5 of 5

• #### Algebraic K-theory and cubical descent ﻿

(2009)
Article
Open Access
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 ...
• #### Categories de descens: aplicacions a la teoría K algebraica ﻿

(Universitat Politècnica de Catalunya, 2008-07-08)
Doctoral thesis
Open Access
En el marc de l'estudi de la cohomologia de les varietats algebraiques, i en particular en les aplicacions cohomològiques del teorema de resolució de singularitats d'Hironaka, utilitzem la tècnica de les hiperresolucions ...
• #### Fibrant presheaves of spectra and Guillen-Navarro extension ﻿

(2009)
Article
Open Access
In this remark we prove that the Guill´en-Navarro extension of a presheaf of spectra in the category of algebraic varieties over a field of characteristic zero, when exists, coincides up to weak equivalence with the ...
• #### Model categories and cubical descent ﻿

(2007-06-12)
Article
Open Access
We prove that the subcategory of fibrant objects of a simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro, if and only if an acyclicity criterion holds.
• #### Stable model categories and cohomological descent ﻿

(2006-07-28)
Article
Open Access
We prove that the subcategory of fibrant objects of a stable simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro.