A few localisation theorems, by Bruno Kahn and R. Sujatha

Given a functor T:C -> D carrying a class of morphisms S \subset C into a class S' \subset D, we give sufficient conditions in order that T induces an equivalence on the localised categories. These conditions are in the spirit of Quillen's theorem A. We give some applications in algebaic and birational geometry.


Bruno Kahn <kahn@math.jussieu.fr>
R. Sujatha <sujatha@math.tifr.res.in>