\(t\)-structures on stable derivators and Grothendieck hearts

DOI10.1016/j.aim.2023.109139zbMath1523.18014arXiv1708.07540OpenAlexW2796027668MaRDI QIDQ6175943

Simone Virili, Jan Šťovíček, Manuel Saorín

Publication date: 25 July 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07540

zbMATH Keywords

heartGrothendieck abelian category\(t\)-structuresderivator

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)

Related Items (4)

Local coherence of hearts associated with Thomason filtrations ⋮ Compactly generated t-structures in the derived category of a commutative ring ⋮ \(t\)-structures with Grothendieck hearts via functor categories ⋮ Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the heart associated with a torsion pair
• On left and right model categories and left and right Bousfield localizations
• Model structures on exact categories
• When the heart of a faithful torsion pair is a module category
• Mayer-Vietoris sequences in stable derivators
• On the heart of a faithful torsion theory
• Tilting theory for trees via stable homotopy theory
• Addendum to ``Direct limits in the heart of a t-structure: the case of a torsion pair
• Tilting modules of finite projective dimension
• A remark on the generalized smashing conjecture
• Silting and cosilting classes in derived categories
• Silting theory in triangulated categories with coproducts
• Cotorsion pairs, model category structures, and representation theory
• Cohomological direct images in model categories
• Derivators, pointed derivators and stable derivators
• Cotilting sheaves on Noetherian schemes
• Enlargement of (fibered) derivators
• Direct limits in the heart of a t-structure: the case of a torsion pair
• Abstract tilting theory for quivers and related categories
• Models for singularity categories.
• Kaplansky classes and derived categories
• Derived equivalences induced by big cotilting modules
• A variant of E. H. Brown's representability theorem
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• Sur quelques points d'algèbre homologique
• The Popescu-Gabriel theorem for triangulated categories
• Triangulated Categories
• Model Categories of Diagram Spectra
• On compactly generated torsion pairs and the classification of co-$t$-structures for commutative noetherian rings
• Silting Modules
• Local Homotopy Theory
• Two results from Morita theory of stable model categories
• Deriving DG categories
• Axiomatic stable homotopy theory
• The 𝑡-structure induced by an 𝑛-tilting module
• Symmetric spectra
• Derived Equivalences As Derived Functors
• Tilting in abelian categories and quasitilted algebras
• Non-connective K-theory via universal invariants
• tCG torsion pairs
• Weight Structures and Simple dg Modules for Positive dg Algebras
• Hearts of t-structures in the derived category of a commutative Noetherian ring
• The additivity of traces in monoidal derivators
• Higher Topos Theory (AM-170)
• The linearity of traces in monoidal categories and bicategories
• Simplicial homotopy theory
• Spectra and symmetric spectra in general model categories
• On \(t\)-structures and torsion theories induced by compact objects
• Combinatorial model categories have presentations

This page was built for publication: \(t\)-structures on stable derivators and Grothendieck hearts