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Fibrant presheaves of spectra and Guillén-Navarro extension. (English) Zbl 1182.19001

Summary: We prove that the Guillén-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 fibrant replacement of the presheaf in the injective model category structure with the cd-topology of abstract blow-ups.

MSC:

19D55 \(K\)-theory and homology; cyclic homology and cohomology
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
14F20 Étale and other Grothendieck topologies and (co)homologies

Citations:

Zbl 1167.18306
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References:

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