Now showing items 1-5 of 5

    • Algebraic K-theory and cubical descent 

      Pascual Gainza, Pere; Rubió Pons, Llorenç (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 

      Rubió Pons, Llorenç (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 

      Rubió Pons, Llorenç (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 

      Rubió Pons, Llorenç (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 

      Rubió Pons, Llorenç (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.