Grothendieck categories and support conditions

Details Grothendieck categories and support conditions Grothendieck categories and support conditions

2003-09-18

arxiv.org/abs/math/0309296v4

Mathematics

Category Theory

11 pages, LaTeX, minor changes

Scientific paper

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.

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