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A few localisation theorems

Bruno Kahn, R. Sujatha

math.AGarXiv:math/0610828

Abstract

Given a functor T:C D carrying a class of morphisms S⊂ C into a class S'⊂ 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.

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