Open Access
2007 A few localisation theorems
Bruno Kahn, R. Sujatha
Homology Homotopy Appl. 9(2): 137-161 (2007).

Abstract

Given a functor $T : \mathcal{C} \to \mathcal{D}$ carrying a class of morphisms $S \subset \mathcal C$ into a class $S^\prime \subset \mathcal{D}$, 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.

Citation

Download Citation

Bruno Kahn. R. Sujatha. "A few localisation theorems." Homology Homotopy Appl. 9 (2) 137 - 161, 2007.

Information

Published: 2007
First available in Project Euclid: 23 January 2008

zbMATH: 1153.18011
MathSciNet: MR2366946

Subjects:
Primary: 14A15 , 14E05 , 18A99 , 18F05

Keywords: Algebraic Geometry , birational geometry , Gabriel-Zisman localisation , Quillen’s theorem A

Rights: Copyright © 2007 International Press of Boston

Vol.9 • No. 2 • 2007
Back to Top