Local cohomology modules with respect to an ideal containing the irrelevant ideal
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Publication:1004464
DOI10.1016/j.jpaa.2008.08.004zbMath1160.13012OpenAlexW2021387091MaRDI QIDQ1004464
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
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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