Realisation functors in tilting theory

DOI10.1007/s00209-017-1923-yzbMath1407.18014arXiv1511.02677OpenAlexW2963755247WikidataQ59528374 ScholiaQ59528374MaRDI QIDQ1745316

Jorge Vitória, Chrysostomos Psaroudakis

Publication date: 17 April 2018

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

Full work available at URL: https://arxiv.org/abs/1511.02677

zbMATH Keywords

tiltingderived equivalencerecollementt-structurehomological embeddingcosiltingcotiltingrealisation functorsilting

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Localization of categories, calculus of fractions (18E35) Derived categories and associative algebras (16E35)

Related Items (38)

Gorenstein homological aspects of monomorphism categories via Morita rings ⋮ Equivalences induced by infinitely generated silting modules ⋮ A relative silting theorem ⋮ The \(\mathbf D\)-standard and \(K\)-standard categories ⋮ Compatibility of t-structures in a semiorthogonal decomposition ⋮ Compactly generated t-structures in the derived category of a commutative ring ⋮ Silting reduction and Calabi–Yau reduction of triangulated categories ⋮ Locally finitely presented and coherent hearts ⋮ Yoneda algebras and their singularity categories ⋮ Properties of abelian categories via recollements ⋮ T-structures on unbounded twisted complexes ⋮ Lifting and restricting t‐structures ⋮ A note on cosilting modules ⋮ Purity in compactly generated derivators and t-structures with Grothendieck hearts ⋮ Derived equivalences induced by nonclassical tilting objects ⋮ Classifying recollements of derived module categories for derived discrete algebras ⋮ Cotilting sheaves on Noetherian schemes ⋮ Singular equivalences to locally coherent hearts of commutative Noetherian rings ⋮ Lifting recollements of abelian categories and model structures ⋮ Partial silting objects and smashing subcategories ⋮ Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings ⋮ Unnamed Item ⋮ Discreteness of silting objects and t-structures in triangulated categories ⋮ Reasonable triangulated categories have filtered enhancements ⋮ Silting theory in triangulated categories with coproducts ⋮ Definable coaisles over rings of weak global dimension at most one ⋮ Triangulated Matlis equivalence ⋮ Contractibility of the stability manifold for silting-discrete algebras ⋮ Hearts for commutative Noetherian rings: torsion pairs and derived equivalences ⋮ \( \infty \)-tilting theory ⋮ On the abundance of silting modules ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ Silting Objects ⋮ Derived equivalences via HRS-tilting ⋮ Definability and approximations in triangulated categories ⋮ Parametrizing torsion pairs in derived categories ⋮ Lifting of recollements and gluing of partial silting sets ⋮ Recollements and stratifying ideals

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