Hamburger-Noether matrices over rings

DOI10.1016/0022-4049(90)90003-ZzbMath0744.14020OpenAlexW1984934804MaRDI QIDQ1813659

Julio Castellanos

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90003-z

zbMATH Keywords

infinitely near pointsmultiplicity sequencemonoidal transformationsArf matricesequisingular deformations of curve singularitiesHamburger-Noether matricesHN deformationsHN expansionsHN matricesresolution procedure of a curve singularity

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Rational and birational maps (14E05) Singularities of curves, local rings (14H20) Formal methods and deformations in algebraic geometry (14D15) Infinitesimal methods in algebraic geometry (14B10) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (2)

On the geometry of the sequence of infinitely near points ⋮ Singularities of dimensionality type 1

Cites Work

• A relation between the sequence of multiplicities and the semigroup of values of an algebroid curve
• Algebroid curves in positive characteristic
• Hamburger-Noether Expansions Over Rings
• Studies in Equisingularity II. Equisingularity in Codimension 1 (and Characteristic Zero)
• Note on Coefficient Fields
• Stable Ideals and Arf Rings
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