Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules

DOI10.1080/00927872.2013.849261zbMath1318.13024arXiv1305.7004OpenAlexW4245760018MaRDI QIDQ5249903

Davood Asadollahi, Reza Naghipour

Publication date: 13 May 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7004

zbMATH Keywords

associated primeslocal cohomologyFaltings' local-global principle

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (15)

Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings ⋮ \({\mathcal {S}}\)-minimaxness and local cohomology modules ⋮ Cofiniteness with respect to the class of modules in dimension less than a fixed integer ⋮ On the cofiniteness of local cohomology modules in dimension \(< 2\) ⋮ General local cohomology modules in view of low points and high points ⋮ Faltings' local-global principle for finiteness dimension of cofinite modules ⋮ Unnamed Item ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology modules ⋮ Finiteness dimensions and cofiniteness of local cohomology modules ⋮ Cofiniteness of local cohomology modules in the class of modules in dimension less than a fixed integer ⋮ On the cofiniteness of generalized local cohomology modules with respect to the class of modules in dimension less than a fixed integer ⋮ Unnamed Item ⋮ Remarks on the local-global principle for a subcategory consisting of extension modules ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions ⋮ On the cofiniteness of small-level generalized local cohomology modules

Cites Work

• Associated primes of local cohomology and \(S_2\)-ification
• Der Endlichkeitssatz in der lokalen Kohomologie
• Cofiniteness and associated primes of local cohomology modules.
• Minimaxness and Cofiniteness Properties of Local Cohomology Modules
• On the Category of Weakly Laskerian Cofinite Modules
• On the cofiniteness of local cohomology modules
• On the finiteness of associated primes of local cohomology modules
• A finiteness result for associated primes of local cohomology modules
• Associated primes of local cohomology modules
• On the De Rham cohomology of algebraic varieties

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