Multigraded Rees algebras of \({\mathfrak M}\)-primary ideals in local rings of dimension greater than one

DOI10.1016/S0022-4049(99)00106-1zbMath1046.13006arXivmath/0409096OpenAlexW2116611392MaRDI QIDQ1840478

Clare D'Cruz

Publication date: 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409096

zbMATH Keywords

Cohen-Macaulay local ringminimal multiplicity property

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ A Formula for the Multiplicity of the Multi-graded Extended Rees Algebra

Cites Work

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• Extended Rees algebras and mixed multiplicities
• Birational extensions in dimension two and integrally closed ideals
• Multigraded Rees algebras and mixed multiplicities
• Certain graded algebras are always Cohen-Macaulay
• On the associated graded ring of a local Cohen-Macaulay ring
• Reduction numbers and multiplicities of multigraded structures
• Rees algebras with minimal multiplicity
• Generalizations of Reductions and Mixed Multiplicities
• Rings associated with ideals and analytic spread
• Joint reductions and Rees algebras
• Local Rings of High Embedding Dimension

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