Open AccessFibrant Presheaves of Spectra and Guillén–Navarro Extension
Author(s) -
Llorenç Rubió Pons
Publication year - 2009
Publication title -
rendiconti del seminario matematico della università di padova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 24
eISSN - 0373-319X
pISSN - 0041-8994
DOI - 10.4171/rsmup/122-12
Subject(s) - extension (predicate logic) , computer science , mathematics , programming language
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 fibrant replacement of the presheaf in the injective model category structure with the cd-topology of abstract blow-ups.
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