Associated primes of graded components of local cohomology modules

DOI10.1090/S0002-9947-02-02987-2zbMath1013.13009arXivmath/0209351OpenAlexW1665340790MaRDI QIDQ3151230

Mordechai Katzman, Rodney Y. Sharp, Markus P. Brodmann

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209351

zbMATH Keywords

Gröbner basesassociated primesheightsfinite generation of local cohomology modulesJFM 47.0878.03localized depths

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Local cohomology and commutative rings (13D45) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (12)

Graded Local Cohomology Modules and Their Associated Primes ⋮ Hilbert-Samuel coefficients and postulation numbers of graded components of certain local cohomology modules ⋮ Low-codimensional associated primes of graded components of local cohomology modules ⋮ Graded local cohomology modules and their associated primes: The Cohen-Macaulay case ⋮ A cohomological stability result for projective schemes over surfaces ⋮ Multiplicities of graded components of local cohomology modules ⋮ On the asymptotic behaviour of associated primes of generalized local cohomology modules ⋮ On finiteness properties of local cohomology modules over Cohen-Macaulay local rings ⋮ Local cohomology modules with respect to an ideal containing the irrelevant ideal ⋮ Tameness and Artinianness of Graded Generalized Local Cohomology Modules ⋮ An example of an infinite set of associated primes of a local cohomology module ⋮ Some properties of top graded local cohomology modules.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(p\)-torsion elements in local cohomology modules
• Cohomological patterns of coherent sheaves over projective schemes
• Bass numbers in the graded case, \(a\)-invariant formulas, and an analogue of Faltings' annihilator theorem
• A lifting result for local cohomology of graded modules
• Bounds for cohomological Hilbert-functions of projective schemes over Artinian rings

This page was built for publication: Associated primes of graded components of local cohomology modules