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arxiv: 1902.05817 · v1 · pith:TRGFZREYnew · submitted 2019-02-15 · 🧮 math.RT · math.CT· math.RA

Partial silting objects and smashing subcategories

Lidia Angeleri H\"ugel , Frederik Marks , Jorge Vit\'oria This is my paper
classification 🧮 math.RT math.CTmath.RA
keywords siltingsmashingeverygeneratedpartialsubcategoriessubcategoryadmits
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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.

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  1. Fishing for complements

    math.RT 2024-02 unverdicted novelty 5.0

    Necessary and sufficient conditions for complements to presilting objects in triangulated categories are established via co-t-structures, plus an equivalence characterizing silting-discrete algebras.