On certain rings of differentiable type and finiteness properties of local cohomology

DOI10.1016/j.jalgebra.2012.12.010zbMath1279.13029arXiv1202.3597OpenAlexW2962966565MaRDI QIDQ376012

Luis Núñez-Betancourt

Publication date: 1 November 2013

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

Full work available at URL: https://arxiv.org/abs/1202.3597

zbMATH Keywords

D-moduleassociated primeslocal cohomology modules

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Commutative rings of differential operators and their modules (13N10)

Related Items (10)

Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Bernstein-Sato Polynomials in Commutative Algebra ⋮ Some results on local cohomology of polynomial and formal power series rings: the one dimensional case ⋮ Finiteness properties of local cohomology modules over differentiable admissible algebras ⋮ On the ring of differential operators of certain regular domains ⋮ \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ Associated primes of local cohomology of flat extensions with regular fibers and \(\varSigma\)-finite \(D\)-modules ⋮ Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Local cohomology modules of polynomial or power series rings over rings of small dimension

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