Valuations determined by quadratic transforms of a regular ring

DOI10.1016/j.jalgebra.2004.07.010zbMath1098.13026OpenAlexW1994197920MaRDI QIDQ1763909

Ángel Granja

Publication date: 22 February 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.010

zbMATH Keywords

valuationsreal rankquadratic transformsrational rank

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Regular local rings (13H05)

Related Items (11)

Valuations dominating regular local rings and proximity relations ⋮ Asymptotic properties of infinite directed unions of local quadratic transforms ⋮ 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 ⋮ Iterated blowups of two-dimensional regular local rings ⋮ Valuations, equimultiplicity and normal flatness

Cites Work

• Good points of a hypersurface
• Proximity relations for real rank one valuations dominating a local regular ring
• 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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