A cohomological stability result for projective schemes over surfaces

DOI10.1515/CRELLE.2007.040zbMath1127.14005MaRDI QIDQ5421665

Markus P. Brodmann

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

local cohomologyassociated prime idealsasymptotic stableness

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (3)

Local cohomology modules with respect to an ideal containing the irrelevant ideal ⋮ Asymptotic depth of twisted higher direct image sheaves ⋮ Unnamed Item

Cites Work

• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Cohomological patterns of coherent sheaves over projective schemes
• An example of an infinite set of associated primes of a local cohomology module
• Low-codimensional associated primes of graded components of local cohomology modules
• Bass Numbers of Local Cohomology Modules
• Associated primes of graded components of local cohomology modules
• Local cohomology over homogeneous rings with one-dimensional local base ring
• A finiteness result for associated primes of local cohomology modules
• On the set of associated primes of a local cohomology module
• The associated primes of local cohomology modules over rings of small dimension

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