### 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>