Descent for blow-up's on smooth schemes
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These are the notes of a talk in which we translate from the A1-homotopy theoretic context an argument from [Mor99] showing that a homotopy invariant presheaf of spectra on the category of smooth schemes that satisfies Nisnevich descent automatically satisfies descent for abstract blow-ups. More concretely, Theorem 3.3.1 in [Mor99] roughly says that a Nisnevich distinguished square of schemes is homotopy cartesian when seen in the stable A1-homotopy category. We complete the details of the proof of this theorem and write it in the language of presheaves of spectra. This is theorem 3.7 in this notes.
Versió de l'editorwww.ma1.upc.edu/recerca/preprints/2009/prepr200901roigmaranges.pdf