The 𝑡-structure induced by an 𝑛-tilting module
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Publication:4633622
DOI10.1090/tran/7488zbMath1442.18032arXiv1604.00797OpenAlexW3123107098MaRDI QIDQ4633622
Publication date: 3 May 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.00797
Resolutions; derived functors (category-theoretic aspects) (18G10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Homotopical algebra, Quillen model categories, derivators (18N40) Derived categories, triangulated categories (18G80)
Related Items
The HRS tilting process and Grothendieck hearts of t-structures ⋮ Generalized tilting theory in functor categories ⋮ Symmetric subcategories, tilting modules, and derived recollements ⋮ \(t\)-structures with Grothendieck hearts via functor categories ⋮ Purity in compactly generated derivators and t-structures with Grothendieck hearts ⋮ \(t\)-structures on stable derivators and Grothendieck hearts ⋮ Tilting Modules and Tilting Torsion Pairs ⋮ Realisation functors in tilting theory
Cites Work
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- Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
- Projective modules
- On the heart of a faithful torsion theory
- Addendum to ``Direct limits in the heart of a t-structure: the case of a torsion pair
- Tilting modules of finite projective dimension
- Perpendicular categories with applications to representations and sheaves
- A characterization of \(n\)-cotilting and \(n\)-tilting modules.
- Covers induced by Ext
- Approximations and Mittag-Leffler conditions the applications
- Cotorsion pairs, model category structures, and representation theory
- Direct limits in the heart of a t-structure: the case of a torsion pair
- Recollements from partial tilting complexes.
- One dimensional tilting modules are of finite type.
- Derived equivalences induced by big cotilting modules
- Purity and algebraic compactness for modules
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- Cotorsion pairs generated by modules of bounded projective dimension.
- Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
- Good tilting modules and recollements of derived module categories
- Derived equivalence induced by infinitely generated 𝑛-tilting modules
- How To Make Ext Vanish
- The flat model structure on complexes of sheaves
- Mittat-Leffler conditions on modules
- Higher algebraic K-theory: I
- Construction of 𝑡-structures and equivalences of derived categories
- The flat model structure on 𝐂𝐡(𝐑)
- Tilting in abelian categories and quasitilted algebras
- Equivalences induced by infinitely generated tilting modules
- All tilting modules are of finite type
- Des catégories abéliennes
- the stable derived category of a noetherian scheme
