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Generating the bounded derived category and perfect ghosts (1006.3568v2)

Published 17 Jun 2010 in math.CT, math.AG, and math.RT

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.

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