Tilting complexes and codimension functions over commutative Noetherian rings

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Derived categories and commutative rings (13D09) Derived categories, triangulated categories (18G80)

Cites Work

Tilting modules and Gorenstein rings
Gorenstein injective covers and envelopes over noetherian rings
The Homological Dimension of a Quotient Field
Homological Dimension and the Continuum Hypothesis
Fibres formelles d'un anneau local noethérien
Krull dimension
the stable derived category of a noetherian scheme
Intermediate rings between a local domain and its completion. II
$t$-structures with Grothendieck hearts via functor categories
$t$-structures on stable derivators and Grothendieck hearts
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Relative homological algebra. Vol. 1
Recollements and tilting objects
Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
Representations of finite groups. Local cohomology and support.
Stratifying derived module categories
Tilting modules arising from ring epimorphisms.
Tilting for regular rings of Krull dimension two
Localization functors and cosupport in derived categories of commutative Noetherian rings
Cotorsion pairs induced by duality pairs
The homotopy category of flat modules, and Grothendieck duality
Reflexivity and rigidity for complexes, I: Commutative rings
Compactly generated $t$-structures on the derived category of a noetherian ring
Duality for derived categories and cotilting bimodules
Derived functors of $I$-adic completion and local homology
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Local cohomology and the Cousin complex for a commutative Noetherian ring
Bounded complexes of flat modules
Gorenstein homological dimensions.
Grothendieck duality and base change
Cosilting modules
Silting and cosilting classes in derived categories
Silting theory in triangulated categories with coproducts
Realisation functors in tilting theory
A local duality principle in derived categories of commutative Noetherian rings
Rigid dualizing complexes
Flat covers of modules
Tilting modules and tilting torsion theories
The equivariant slice filtration: a primer
On the slice spectral sequence
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Hearts for commutative Noetherian rings: torsion pairs and derived equivalences
Flat cotorsion modules over Noether algebras
Purity in compactly generated derivators and t-structures with Grothendieck hearts
Minimal semi-flat-cotorsion replacements and cosupport
Cotilting sheaves on Noetherian schemes
Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings
Definable coaisles over rings of weak global dimension at most one
On equivariant and motivic slices
$ \infty $-tilting theory
Good tilting modules and recollements of derived module categories. II
Cosilting complexes and AIR-cotilting modules
Torsion pairs in silting theory
A few examples of local rings. I
Recollements from partial tilting complexes.
Acyclicity versus total acyclicity for complexes over noetherian rings
t-structures and cotilting modules over commutative Noetherian rings
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Exact categories
Faltings' annihilator theorem and $t$-structures of derived categories
Infinitely generated tilting modules of finite projective dimension
Triangulated categories
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Complete modules and torsion modules
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Silting mutation in triangulated categories
Motivic slices and coloured operads
Colocalizing subcategories of D(R)
Localization theory for triangulated categories
Derived equivalence induced by infinitely generated 𝑛-tilting modules
Totally acyclic complexes and locally Gorenstein rings
ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
Ascent Properties of Auslander Categories
Morita Theory for Derived Categories
A commutative Noetherian ring which possesses a dualizing complex is acceptable
Local homology and cohomology on schemes
Completion, Čech and Local Homology and Cohomology
Silting Modules over Commutative Rings
Construction of 𝑡-structures and equivalences of derived categories
The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
Colocalizing subcategories and cosupport
The Tilting–Cotilting Correspondence
Parametrizing torsion pairs in derived categories
The $t$-structures generated by objects
Classification of Resolving Subcategories and Grade Consistent Functions
Silting Objects
Injective Dimension in Noetherian Rings
Tilting, cotilting, and spectra of commutative noetherian rings
Finiteness of cousin cohomologies
Categories and Sheaves