Rendiconti del Seminario Matematico della Università di Padova

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Volume 122, 2009, pp. 191–203
DOI: 10.4171/RSMUP/122-12

Fibrant Presheaves of Spectra and Guillén-Navarro Extension

Llorenç Rubió i Pons[1]

(1) Universitat Politècnica de Catalunya, Barcelona, Spain

In this remark 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.

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Rubió i Pons Llorenç: Fibrant Presheaves of Spectra and Guillén-Navarro Extension. Rend. Sem. Mat. Univ. Padova 122 (2009), 191-203. doi: 10.4171/RSMUP/122-12