Castelnuovo–Mumford Regularity and Cohomological Dimension

DOI10.1080/00927872.2013.788187zbMath1304.13034arXiv1304.2517OpenAlexW2964181351MaRDI QIDQ5495318

Maryam Jahangiri

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1304.2517

zbMATH Keywords

cohomological dimensionCastelnuovo-Mumford regularitylocal cohomology

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Local cohomology modules with respect to an ideal containing the irrelevant ideal
• The largest non-vanishing degree of graded local cohomology modules
• Bass numbers in the graded case, \(a\)-invariant formulas, and an analogue of Faltings' annihilator theorem
• Cohen-Macaulay residual intersections and their Castelnuovo-Mumford regularity
• Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness
• On the vanishing of local cohomology in characteristic p > 0
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• Cohomological dimension of certain algebraic varieties
• Local Cohomology at Monomial Ideals inR-Sequences

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