Geodesic
A few localisation theorems
Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 137-161.

Voir la notice de l'article provenant de la source International Press of Boston

Given a functor $T\colon \mathcal{C} \to \mathcal{D}$ carrying a class of morphisms $S \subset \mathcal{C}$ into a class $S' \subset \mathcal{D}$, we give sufficient conditions for $T$ to induce an equivalence on the localised categories. These conditions are in the spirit of Quillen’s Theorem A. We give some applications in algebraic and birational geometry.
DOI : 10.4310/HHA.2007.v9.n2.a5
Classification : 14A15, 14E05, 18Axx, 18F05
Keywords: Gabriel-Zisman localisation, Quillen's theorem A, algebraic geometry, birational geometry 
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Bruno Kahn; R. Sujatha. A few localisation theorems. Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 137-161. doi : 10.4310/HHA.2007.v9.n2.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n2.a5/

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