English

Grothendieck categories and support conditions

Category Theory 2007-05-23 v4

Abstract

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.

Cite

@article{arxiv.math/0309296,
  title  = {Grothendieck categories and support conditions},
  author = {Pierre-Yves Gaillard},
  journal= {arXiv preprint arXiv:math/0309296},
  year   = {2007}
}

Comments

11 pages, LaTeX, minor changes

R2 v1 2026-07-22T16:57:50.771Z