Modules of finite length and finite projective dimension

DOI10.1007/S002220200217zbMath1061.13010OpenAlexW2069288495MaRDI QIDQ1401461

Paul C. Roberts, Vasudevan Srinivas

Publication date: 17 August 2003

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220200217

zbMATH Keywords

Cohen-Macaulay local ringvanishing theoremmodules of finite lengthfinite projective dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (17)

Numerical equivalence defined on Chow groups of Noetherian local rings ⋮ Witt, \(GW\), \(K\)-theory of quasi-projective schemes ⋮ Reducers and K₀ with support ⋮ Tensor triangular Chow groups ⋮ Finite homological dimension and a derived equivalence ⋮ Grothendieck groups, convex cones and maximal Cohen-Macaulay points ⋮ \(K\)-theory and the singularity category of quotient singularities ⋮ Intersection multiplicity on blow-ups ⋮ The cone spanned by maximal Cohen-Macaulay modules and an application ⋮ Grothendieck groups for categories of complexes ⋮ Hilbert–Kunz Functions over Rings Regular in Codimension One ⋮ Foxby-morphism and derived equivalences ⋮ The shape of Hilbert-Kunz functions ⋮ Hochster's theta pairing and numerical equivalence ⋮ Constructing modules of finite projective dimension with prescribed intersection multiplicities ⋮ On the limit of Frobenius in the Grothendieck group ⋮ Boundary and shape of Cohen-Macaulay cone

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