A few localisation theorems

Bruno Kahn; R. Sujatha

A few localisation theorems

Algebraic Geometry 2010-09-13 v3 Category Theory

Authors: Bruno Kahn , R. Sujatha

Abstract

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.

Keywords

category theory functors in category theory tensor category

Cite

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

Comments

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

A few localisation theorems

Abstract

Keywords

Cite

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