Generating the bounded derived category and perfect ghosts
Category Theory
2012-07-10 v2 Algebraic Geometry
Representation Theory
Abstract
We show, for a wide class of abelian categories relevant in representation theory and algebraic geometry, that the bounded derived categories have no non-trivial strongly finitely generated thick subcategories containing all perfect complexes. In order to do so we prove a strong converse of the Ghost Lemma for bounded derived categories.
Cite
@article{arxiv.1006.3568,
title = {Generating the bounded derived category and perfect ghosts},
author = {Steffen Oppermann and Jan Stovicek},
journal= {arXiv preprint arXiv:1006.3568},
year = {2012}
}
Comments
15 pages; version 2: more details added and presentation improved, reference list expanded and updated including references to examples illustrating our results