Valuations dominating regular local rings and proximity relations

DOI10.1016/j.jpaa.2006.06.010zbMath1114.13017OpenAlexW1968324920MaRDI QIDQ869213

Ma. Carmen Martínez, Ángel Granja, Cristina Rodríguez

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.06.010

Mathematics Subject Classification ID

Valuation rings (13F30) Regular local rings (13H05)

Related Items (8)

Directed unions of local quadratic transforms of a regular local ring ⋮ Sequences of quadratic transforms of a noetherian local domain ⋮ The Quadratic Tree of a Two-Dimensional Regular Local Ring ⋮ Sequences of monoidal transformations of a regular noetherian local domain ⋮ Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks ⋮ Ideal theory of infinite directed unions of local quadratic transforms ⋮ Valuations with preassigned proximity relations ⋮ Valuations, equimultiplicity and normal flatness

Cites Work

• Local weak simultaneous resolution for high rational ranks
• Saturation for valuations on two-dimensional regular local rings
• Valuations determined by quadratic transforms of a regular ring
• Proximity relations for real rank one valuations dominating a local regular ring
• On proximity relations for valuations dominating a two-dimensional regular local ring
• Valuations in Function Fields of Surfaces
• Monoidal Transforms of Regular Local Rings
• On the Valuations Centered in a Local Domain
• Ramification Theoretic Methods in Algebraic Geometry (AM-43)
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