Discrete valuations centered on local domains

DOI10.1016/S0022-4049(00)00086-4zbMath1094.13502OpenAlexW2076430665MaRDI QIDQ5939612

Reinhold Hübl, Irena Swanson

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00086-4

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Excellent rings (13F40)

Related Items (17)

Normal cones of monomial primes ⋮ On the linearity of Artin functions ⋮ Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs ⋮ Dimension and singularity theory for local rings of finite embedding dimension ⋮ Total separable closure and contractions ⋮ SOME RESULTS ON ONE-FIBERED IDEALS ⋮ A Propos De La Condition (C₂) Pour Les Idéaux Monômiaux ⋮ Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality ⋮ ON THE INTEGRAL CLOSURE OF IDEALS SATISFYING THE CONDITION (C₂) ⋮ Uniform equivalence of symbolic and adic topologies ⋮ Completions, valuations and ultrapowers of Noetherian domains ⋮ Note on Diophantine inequality and linear Artin approximation over a local ring ⋮ On the Normality of One-fibered Monomial Ideals ⋮ Thresholds, valuations, and K-stability ⋮ Clôture Intégrale D'idéaux et la Propriété (Z_k) ⋮ On the Comparison of Rees's Valuations Over a Quasi-Unmixed Local Ring ⋮ Filtrations and test-configurations

Cites Work

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• On Unique and Almost Unique Factorization of Complete Ideals
• A contribution to the theory of formal meromorphic functions
• Asymptotic Factorization of Ideals
• A Note on Analytically Unramified Local Rings
• On the De Rham cohomology of algebraic varieties

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