$t$-structures with Grothendieck hearts via functor categories

DOI10.1007/s00029-023-00872-9arXiv2003.01401OpenAlexW3009360014MaRDI QIDQ6080078

Publication date: 30 October 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01401

zbMATH Keywords

purity Grothendieck category $t$-structure functor category homological functor pure-injective object $t$-generating subcategory

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Localization of categories, calculus of fractions (18E35) Derived categories, triangulated categories (18G80)

Related Items (3)

Local coherence of hearts associated with Thomason filtrations ⋮ Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings ⋮ Relative extriangulated categories arising from half exact functors

Cites Work

On exact categories and applications to triangulated adjoints and model structures
When the heart of a faithful torsion pair is a module category
The spectrum of a locally coherent category
Parametrizing recollement data for triangulated categories
Definability and approximations in triangulated categories
On the heart of a faithful torsion theory
A quick proof of the Gabriel-Popesco theorem
Preprojective modules over Artin algebras
A Brown representability theorem via coherent functors
Approximations and Mittag-Leffler conditions the tools
Silting theory in triangulated categories with coproducts
Exactness of direct limits for abelian categories with an injective cogenerator
Injective DG-modules over non-positive DG-rings
A generalization of the Gabriel-Popescu theorem
Smashing subcategories and the telescope conjecture -- an algebraic approach
Torsion pairs in categories of modules over a preadditive category
On perfectly generated weight structures and adjacent $t$-structures
Pure projective tilting modules
Purity in compactly generated derivators and t-structures with Grothendieck hearts
Cotilting sheaves on Noetherian schemes
Covers and direct limits: a contramodule-based approach
Direct limits in the heart of a t-structure: the case of a torsion pair
Torsion pairs in silting theory
Compact corigid objects in triangulated categories and co-$t$-structures
Derived equivalences induced by big cotilting modules
Rings with several objects
Sur quelques points d'algèbre homologique
Linearized topologies and deformation theory
The Popescu-Gabriel theorem for triangulated categories
The spectrum of a module category
Triangulated Categories
On compactly generated torsion pairs and the classification of co-$t$-structures for commutative noetherian rings
Silting mutation in triangulated categories
Localization theory for triangulated categories
Algebraic versus topological triangulated categories
Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
Cohomological quotients and smashing localizations
Two results from Morita theory of stable model categories
On semi-infinite cohomology of finite-dimensional graded algebras
Pontrjagin Duality for Generalized Homology and Cohomology Theories
Locally finitely presented additive categories
The Ziegler Spectrum of a Locally Coherent Grothendieck Category
Axiomatic stable homotopy theory
Functors on locally finitely presented additive categories
Localization in Categories of Complexes and Unbounded Resolutions
Coherent functors in stable homotopy theory
The 𝑡-structure induced by an 𝑛-tilting module
The Tilting–Cotilting Correspondence
The $t$-structures generated by objects
Weight Structures and Simple dg Modules for Positive dg Algebras
Hearts of t-structures in the derived category of a commutative Noetherian ring
Higher Topos Theory (AM-170)
Des catégories abéliennes
On Neeman's well generated triangulated categories
On the derived category of sheaves on a manifold
$t$-structures on stable derivators and Grothendieck hearts
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

This page was built for publication: $t$-structures with Grothendieck hearts via functor categories

\(t\)-structures with Grothendieck hearts via functor categories