On the geometry of the sequence of infinitely near points

DOI10.1007/BF02568265zbMath0741.14005OpenAlexW2055996060MaRDI QIDQ1814167

Julio Castellanos, Ana Núñez

Publication date: 25 June 1992

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

Full work available at URL: https://eudml.org/doc/155628

zbMATH Keywords

equisingularityblowing-upmultiplicity sequenceinfinitely near pointCampillo saturationZariski saturationArf dimension

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Infinitesimal methods in algebraic geometry (14B10)

Cites Work

• Algebro-geometric properties of saturated rings
• A relation between the sequence of multiplicities and the semigroup of values of an algebroid curve
• Algebroid curves in positive characteristic
• Hamburger-Noether matrices over rings
• Relative Lipschitz-Saturation
• Arf Closure Relative to a Divisorial Valuation and Transversal Curves
• Studies in Equisingularity III: Saturation of Local Rings and Equisingularity
• Stable Ideals and Arf Rings
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