Finitely generated saturated multi-Rees algebras

DOI10.1016/j.jalgebra.2024.02.004arXiv2112.14587OpenAlexW4391934186MaRDI QIDQ6196148

Sudeshna Roy, Suprajo Das

Publication date: 14 March 2024

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

Full work available at URL: https://arxiv.org/abs/2112.14587

zbMATH Keywords

Hilbert functionlocal cohomologyfinite generationsaturationmonomial idealsmulti-Rees algebras

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Graded rings and modules (associative rings and algebras) (16W50) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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• Asymptotic growth of multiplicity functions
• Multiplicities and Rees valuations
• Symbolic powers of monomial ideals and vertex cover algebras
• Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules
• Reduction numbers and multiplicities of multigraded structures
• Epsilon multiplicity for Noetherian graded algebras
• Multiplicities associated to graded families of ideals
• The \(j\)-multiplicity of monomial ideals
• Asymptotic Behavior of the Length of Local Cohomology
• Asymptotic growth of algebras associated to powers of ideals
• Hilbert polynomials and powers of ideals
• On a Certain Hilbert Polynomial
• Monomial Ideals
• Mixed multiplicities of filtrations
• Presburger Arithmetic, Rational Generating Functions, and Quasi-Polynomials

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