Generating the bounded derived category and perfect ghosts
classification
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math.AGmath.RT
keywords
boundedcategoriesderivedperfectabelianalgebraiccategoryclass
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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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