Multiplicities and Rees valuations

DOI10.1007/BF03191222zbMath1216.13016OpenAlexW2079468281MaRDI QIDQ847023

Daniel Katz, Javid Validashti

Publication date: 11 February 2010

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/43825

zbMATH Keywords

Rees valuation\(j\)-multiplicityquasi-unimixed local ring

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Complete rings, completion (13J10)

Related Items (16)

Integral Closure ⋮ On the generalized Hilbert-Kunz function and multiplicity ⋮ On the equality of ordinary and symbolic powers of ideals ⋮ Finitely generated saturated multi-Rees algebras ⋮ On the degree function coefficients of complete ideals in two-dimensional regular local rings ⋮ Multiplicity sequence and integral dependence ⋮ Searching for Cutkosky's example ⋮ Relative multiplicities of graded algebras ⋮ Length of local cohomology of powers of ideals ⋮ SYMBOLIC ANALYTIC SPREAD: UPPER BOUNDS AND APPLICATIONS ⋮ Local Okounkov bodies and limits in prime characteristic ⋮ Generalized multiplicities of edge ideals ⋮ Some computations of the generalized Hilbert-Kunz function and multiplicity ⋮ Unnamed Item ⋮ On the Comparison of Rees's Valuations Over a Quasi-Unmixed Local Ring ⋮ Integrally closed rings in birational extensions of two-dimensional regular local rings

Cites Work

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• On a Theorem of B. Teissier on Multiplicities of Ideals in Local Rings
• Joins and Intersections
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
• A numerical characterization of reduction ideals

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