A few localisation theorems
classification
🧮 math.AG
math.CT
keywords
classconditionsgivesubsetalgebaicapplicationsbirationalcarrying
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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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