Symmetric powers of complete modules over a two-dimensional regular local ring

DOI10.1090/S0002-9947-97-01819-9zbMath0864.13003OpenAlexW1848955572MaRDI QIDQ5690992

Vijay Kodiyalam, Daniel Katz

Publication date: 9 January 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01819-9

zbMATH Keywords

regular local ringCohen-Macaulaysymmetric power of integrally closed module

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Integral dependence in commutative rings; going up, going down (13B21) Regular local rings (13H05)

Related Items

What is the Rees algebra of a module? ⋮ Reduction number one for finitely generated torsion-free modules ⋮ Asymptotic Behavior of Integral Closures in Modules ⋮ The core of a module over a two-dimensional regular local ring ⋮ Specialization and integral closure ⋮ Constructing indecomposable integrally closed modules over a two-dimensional regular local ring ⋮ An intrinsic definition of the Rees algebra of a module ⋮ Effective normality criteria for algebras of linear type. ⋮ A Family of Graded Modules Associated to a Module ⋮ Reduction in Rees algebra of modules ⋮ On Ratliff-Rush closure of modules ⋮ Integrally Closed Modules and Their Divisors ⋮ On the depth of the Rees algebra of an ideal module ⋮ The Buchsbaum-Rim polynomial of a module ⋮ On the asymptotic properties of the Rees powers of a module ⋮ A family of reflexive vector bundles of reduction number one ⋮ Rees algebras of finitely generated torsion -free modules over a two-dimensional regular local ring

Cites Work

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• On unique and almost unique factorization of complete ideals. II
• Birational extensions in dimension two and integrally closed ideals
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• Rational singularities, with applications to algebraic surfaces and unique factorization
• A new characterization of rational surface singularities
• Reduction of modules
• Integrally Closed Modules Over Two-Dimensional Regular Local Rings
• A Generalized Koszul Complex. II. Depth and Multiplicity
• Polynomial Ideals Defined by Infinitely Near Base Points