Der Endlichkeitssatz in der lokalen Kohomologie

DOI10.1007/BF01450555zbMath0451.13008MaRDI QIDQ1147763

Gerd Faltings

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/182824

zbMATH Keywords

completion for local ringfiniteness-theorem in local cohomologyregular localitySn-properties

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (max. 100)

Local-Global Principle for the Artinianness of Local Cohomology Modules ⋮ Uniform annihilation of local cohomology and of Koszul homology ⋮ Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings ⋮ Faltings’ theorem for the annihilation of local cohomology modules over a Gorenstein ring ⋮ Uniform annihilators of local cohomology ⋮ Modules whose finiteness dimensions coincide with their cohomological dimensions ⋮ Unnamed Item ⋮ General local cohomology modules in view of low points and high points ⋮ Faltings' local-global principle for finiteness dimension of cofinite modules ⋮ Unnamed Item ⋮ A new proof of Faltings' local-global principle for the finiteness of local cohomology modules ⋮ Cohomology of standard blowing-up ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology modules ⋮ Finiteness dimensions and cofiniteness of local cohomology modules ⋮ Local cohomology annihilators and Macaulayfication ⋮ LOCAL-GLOBAL PRINCIPLE FOR THE FINITENESS AND ARTINIANNESS OF GENERALISED LOCAL COHOMOLOGY MODULES ⋮ Unnamed Item ⋮ On the associated primes of local cohomology modules ⋮ On Faltings' annihilator theorem ⋮ Finiteness of cousin cohomologies ⋮ Remarks on the local-global principle for a subcategory consisting of extension modules ⋮ The finiteness of coassociated primes of generalized local homology modules ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions ⋮ DUAL OF FALTINGS’ THEOREMS ON FINITENESS OF LOCAL COHOMOLOGY ⋮ The derived category analogues of Faltings Local-global Principle and Annihilator Theorems ⋮ Minimaxness and Cofiniteness Properties of Local Cohomology Modules ⋮ Unnamed Item ⋮ Filter regular sequences and the finiteness of local cohomology modules ⋮ Faltings' Local-Global Principle for the Minimaxness of Local Cohomology Modules ⋮ Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules ⋮ On annihilators and associated primes of local cohomology modules ⋮ A finiteness result for associated primes of local cohomology modules

Cites Work

• Über die Annulatoren lokaler Kohomologiegruppen
• Piecewise catenarian and going-between rings
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• Unnamed Item

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