Purity in compactly generated derivators and t-structures with Grothendieck hearts

DOI10.1007/S00209-019-02411-9zbMath1440.18022arXiv1804.01326OpenAlexW2988513284WikidataQ126831739 ScholiaQ126831739MaRDI QIDQ2193062

Rosanna Laking

Publication date: 24 August 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01326

zbMATH Keywords

purityt-structurereduced productderivatorlocally Noetheriancosiltingcotiltingdefinablelocally coherenthomotopically smashing

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Ultraproducts and related constructions (03C20) Derived categories, triangulated categories (18G80)

Related Items (17)

The HRS tilting process and Grothendieck hearts of t-structures ⋮ Local coherence of hearts associated with Thomason filtrations ⋮ Compactly generated t-structures in the derived category of a commutative ring ⋮ Locally finitely presented and coherent hearts ⋮ Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023 ⋮ \(t\)-structures with Grothendieck hearts via functor categories ⋮ Lifting and restricting t‐structures ⋮ Singular equivalences to locally coherent hearts of commutative Noetherian rings ⋮ Cotilting sheaves over weighted noncommutative regular projective curves ⋮ Partial silting objects and smashing subcategories ⋮ Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings ⋮ Definable coaisles over rings of weak global dimension at most one ⋮ Simples in a cotilting heart ⋮ Hearts for commutative Noetherian rings: torsion pairs and derived equivalences ⋮ Silting Objects ⋮ Definability and approximations in triangulated categories ⋮ Parametrizing torsion pairs in derived categories

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