Products, Homotopy Limits and Applications

Details Products, Homotopy Limits and Applications Products, Homotopy Limits and Applications

2009-02-23

arxiv.org/abs/0902.4016v1

Mathematics

Category Theory

13 pages

Scientific paper

In this note, we discuss the derived functors of infinite products and homotopy limits. $QC(X)$, the category of quasi-coherent sheaves on a Deligne-Mumford stack $X$, usually has the property that the derived functors of product vanish after a finite stage. We use this fact to study the convergence of certain homotopy limits and apply it compare the derived category of $QC(X)$ with certain other closely related triangulated categories.

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