Classification of simple space curve singularities

DOI10.1080/00927879908826678zbMath0963.14011OpenAlexW1995357078MaRDI QIDQ4261252

Anne Frühbis-Krüger

Publication date: 26 June 2001

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

Full work available at URL: https://doi.org/10.1080/00927879908826678

zbMATH Keywords

space curvesnon-complete intersectionssimple singularitiesHilbert-Burch theorem

Mathematics Subject Classification ID

Plane and space curves (14H50) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Singularities of curves, local rings (14H20) Local complex singularities (32S05)

Related Items (16)

Computing global dimension of endomorphism rings via ladders ⋮ Simple Cohen–Macaulay Codimension 2 Singularities ⋮ On indices of 1-forms on determinantal singularities ⋮ Curvature loci of 3‐manifolds ⋮ On discriminants, Tjurina modifications and the geometry of determinantal singularities ⋮ The classification of real singularities using Singular. II: The structure of the equivalence classes of the unimodal singularities. ⋮ An explicit non-smoothable component of the compactified Jacobian ⋮ Real and complex integral closure, Lipschitz equisingularity and applications on square matrices ⋮ Solvable groups, free divisors and nonisolated matrix singularities. II: Vanishing topology ⋮ Determinacy of determinantal varieties ⋮ On the vanishing topology of isolated Cohen-Macaulay codimension 2 singularities ⋮ The bi-Lipschitz equisingularity of essentially isolated determinantal singularities ⋮ LOCAL ANALYSIS OF GRAUERT–REMMERT-TYPE NORMALIZATION ALGORITHMS ⋮ Computing moduli spaces for space curve singularities ⋮ Solvable groups, free divisors and nonisolated matrix singularities. I: Towers of free divisors ⋮ The compactified jacobian can be nonreduced

Cites Work

• The Milnor number and deformations of complex curve singularities
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• On the solutions of analytic equations
• Über die Deformation isolierter Singularitäten analytischer Mengen
• What makes a complex exact?
• Simple singularities of space curves
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