Specialization and integral closure

DOI10.1112/jlms/jdu053zbMath1319.13002arXivmath/0611773OpenAlexW2097599377MaRDI QIDQ2934799

Bernd Ulrich, Jooyoun Hong

Publication date: 22 December 2014

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

Full work available at URL: https://arxiv.org/abs/math/0611773

zbMATH Keywords

Rees algebraintegral closure of idealslocal cohomologyintegral closure of modulesBourbaki idealsspecialization of integral dependence

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (13)

Limit behavior of the rational powers of monomial ideals ⋮ The almost Gorenstein Rees algebras over two-dimensional regular local rings ⋮ On the structure of the Sally module and the second normal Hilbert coefficient ⋮ Variations on the Grothendieck–Serre Formula for Hilbert Functions and Their Applications ⋮ A filtration of the Sally module and the first normal Hilbert coefficient ⋮ Projectively full radical ideals in integral extension rings ⋮ Asymptotic associate primes ⋮ Integral closure and generic elements ⋮ The positivity of the first coefficients of normal Hilbert polynomials ⋮ On the Vanishing of the normal Hilbert coefficients of ideals ⋮ Tight closure of powers of ideals and tight hilbert polynomials ⋮ Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings ⋮ On conjectures of Itoh and of Lipman on the cohomology of normalized blow-ups

Cites Work

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• On heights and grades of determinantal ideals

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