On the graded algebra relative to a valuation

DOI10.1007/BF02678188zbMath0881.13001MaRDI QIDQ1357572

Antonio Campillo, Carlos Galindo Pastor

Publication date: 7 July 1997

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

Full work available at URL: https://eudml.org/doc/156259

zbMATH Keywords

valuationvalue semigroup

Mathematics Subject Classification ID

Graded rings (13A02) Valuations and their generalizations for commutative rings (13A18) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (4)

Integration over the space of functions and Poincaré series revisited ⋮ POINCARÉ SERIES OF COLLECTIONS OF PLANE VALUATIONS ⋮ The defining ideal of a plane valuation ⋮ Antonio Campillo

Cites Work

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• Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
• Non-existence of the Artin function for Henselian pairs
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Valuations in Function Fields of Surfaces
• On the Valuations Centered in a Local Domain
• Higher order relations for a numerical semigroup
• The defining ideal of a plane valuation
• Plane valuations and their completions

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