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arXiv · 1311.4891

Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes

Osamu Iyama·Peter Jorgensen·Dong Yang
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Abstract

If (A,B) and (A',B') are co-t-structures of a triangulated category, then (A',B') is called intermediate if A \subseteq A' \subseteq ΣA. Our main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support tau-tilting subcategories under some assumptions. We also show that support tau-tilting subcategories are in bijection with certain finitely generated torsion classes. These generalise results by Adachi, Iyama, and Reiten.

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Osamu Iyama, Peter Jorgensen, Dong Yang. 2014-12-11. Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes. https://doi.org/10.2140/ant.2014.8.2413

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