Local cohomology modules with respect to an ideal containing the irrelevant ideal

DOI10.1016/j.jpaa.2008.08.004zbMath1160.13012OpenAlexW2021387091MaRDI QIDQ1004464

J. Martínez

Publication date: 10 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.08.004

Mathematics Subject Classification ID

Graded rings (13A02) Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (5)

ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS ⋮ Finiteness of graded generalized local cohomology modules ⋮ A note on graded generalized local cohomology modules ⋮ Castelnuovo–Mumford Regularity and Cohomological Dimension ⋮ Tameness and Artinianness of Graded Generalized Local Cohomology Modules

Cites Work

• Baire's category theorem and prime avoidance in complete local rings
• \(p\)-torsion elements in local cohomology modules
• Cohomological patterns of coherent sheaves over projective schemes
• Multiplicities of graded components of local cohomology modules
• Low-codimensional associated primes of graded components of local cohomology modules
• Bass numbers in the graded case, \(a\)-invariant formulas, and an analogue of Faltings' annihilator theorem
• Associated primes of graded components of local cohomology modules
• Castelnuovo-Mumford regularity and related invariants
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• Local cohomology over homogeneous rings with one-dimensional local base ring
• A finiteness result for associated primes of local cohomology modules
• Finitely Graded Local Cohomology and the Depths of Graded Algebras
• A cohomological stability result for projective schemes over surfaces
• On the asymptotic behaviour of associated primes of generalized local cohomology modules
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