A few localisation theorems
نویسندگان
چکیده
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. Introduction Let T : C → D be a functor and S ⊂ C, S ⊂ D two classes of morphisms containing identities and stable under composition, such that T (S) ⊆ S. This induces the situation C T −−−−→ D
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تاریخ انتشار 2007