Generating the bounded derived category and perfect ghosts

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.Comment: 15 pages; version 2: more details added and presentation improved, reference list expanded and updated including references to examples illustrating our result