2003/09/18 by Pierre-Yves Gaillard, Gaillard, Pierre-Yves
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #math.CT
paper · pdf · doi:10.48550/arxiv.math/0309296
11 pages, LaTeX, minor changes
arxiv created 2004/03/16 · arxiv updated 2009/12/01
We give examples of pairs (G1,G2) where G1 is a Grothendieck category and G2 a full Grothendieck subcategory of G1, the inclusion G2 --> G1 being denoted i, for which R+i : D+G2 --> D+G1 (or even Ri : DG2 --> DG1) is a full embedding. This yields generalizations of some results of Bernstein and Lunts, and of Cline, Parshall and Scott.