Partial silting objects and smashing subcategories

Partial silting objects and smashing subcategories

We study smashing subcategories of a triangulated category with coproducts via silting theory. Our main result states that for derived categories of dg modules over a non-positive differential graded ring, every compactly generated localising subcategory is generated by a partial silting object. In...

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Veröffentlicht in:Mathematische Zeitschrift 2020-12, Vol.296 (3-4), p.887-900
Hauptverfasser: Angeleri Hügel, Lidia, Marks, Frederik, Vitória, Jorge
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We study smashing subcategories of a triangulated category with coproducts via silting theory. Our main result states that for derived categories of dg modules over a non-positive differential graded ring, every compactly generated localising subcategory is generated by a partial silting object. In particular, every such smashing subcategory admits a silting t-structure.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-019-02450-2