A few localisation theorems

Details A few localisation theorems A few localisation theorems

2006-10-27

arxiv.org/abs/math/0610828v3

Homology, Homotopy and Applications(HHA) 9, 2 (2007) 137-161

Mathematics

Algebraic Geometry

File mistake in Version 2 To appear in Homology, Homotopy and Applications

Scientific paper

Given a functor $T:C \to D$ 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.

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