Generating the bounded derived category and perfect ghosts

Details Generating the bounded derived category and perfect ghosts Generating the bounded derived category and perfect ghosts

2010-06-17

arxiv.org/abs/1006.3568v2

Mathematics

Category Theory

15 pages; version 2: more details added and presentation improved, reference list expanded and updated including references to

Scientific paper

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.

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