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arXiv · 2606.13508

Silting subcategories and (co)torsion pairs associated to extended hearts

Liangwei Huang·Haicheng Zhang
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Abstract

We establish the poset isomorphisms between $(d+1)$-term silting subcategories, functorially finite $s$-torsion pairs in the $d$-extended heart, and hereditary complete cotorsion pairs in a suitable subcategory. As an application, we also give dg algebra versions of these bijections, which establish the poset isomorphisms between $\tau$-tilting pairs, $(d+1)$-term silting complexes, and functorially finite $s$-torsion pairs.

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BibTeXRIS

Liangwei Huang, Haicheng Zhang. 2026-06-11. Silting subcategories and (co)torsion pairs associated to extended hearts. https://arxiv.org/abs/2606.13508

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