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A few localisation theorems

代数几何 2010-09-13 v3 范畴论

摘要

Given a functor T:CDT:C \to D carrying a class of morphisms SCS\subset C into a class SDS'\subset D, we give sufficient conditions in order that TT 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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引用

@article{arxiv.math/0610828,
  title  = {A few localisation theorems},
  author = {Bruno Kahn and R. Sujatha},
  journal= {arXiv preprint arXiv:math/0610828},
  year   = {2010}
}

备注

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