Finitely Graded Local Cohomology and the Depths of Graded Algebras

DOI10.2307/2161882zbMath0864.13012OpenAlexW4253137997MaRDI QIDQ4874250

Thomas Marley

Publication date: 23 June 1997

Full work available at URL: https://doi.org/10.2307/2161882

zbMATH Keywords

depthRees algebralocal cohomology modules of a graded module

Mathematics Subject Classification ID

Graded rings (13A02) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (11)

Amalgamation over a Graded Ring ⋮ Relative Cohen-Macaulayness and relative unmixedness of bigraded modules ⋮ Depth formulas for the rees algebras of filtrations ⋮ Cofiniteness and non-vanishing of local cohomology modules ⋮ On associated graded rings of normal ideals ⋮ Bass numbers in the graded case, \(a\)-invariant formulas, and an analogue of Faltings' annihilator theorem ⋮ Cohomological properties of non-standard multigraded modules ⋮ Local cohomology modules with respect to an ideal containing the irrelevant ideal ⋮ Supporting degrees of multi-graded local cohomology modules ⋮ A note on graded generalized local cohomology modules ⋮ On the Grauert-Riemenschneider vanishing theorem

Cites Work

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• Certain graded algebras are always Cohen-Macaulay
• Über die Annulatoren lokaler Kohomologiegruppen
• On graded rings. I
• Depth properties of Rees algebras and associated graded rings
• Cohen-Macaulay Rees algebras and degrees of polynomial relations
• Algebraic De Rham cohomology
• When is the rees algebra cohen—macaulay?
• Depth formulas for certain graded rings associated to an ideal
• On Graded Rings Associated to Analytic Deviation One Ideals
• Castelnuovo Regularity and Graded Rings Associated to an Ideal

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