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arXiv · 1006.3568

Generating the bounded derived category and perfect ghosts

Steffen Oppermann·Jan Stovicek
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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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BibTeXRIS

Steffen Oppermann, Jan Stovicek. 2011-05-30. Generating the bounded derived category and perfect ghosts. https://doi.org/10.1112/blms%2Fbdr093

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