Families of curves on surfaces

DOI10.1007/BF01174181zbMath0527.14005MaRDI QIDQ595716

Augusto Nobile

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173503

zbMATH Keywords

equisingularitynodesdeformations of curvedimension of tangent space

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Families, moduli of curves (algebraic) (14H10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Families, moduli, classification: algebraic theory (14J10) Singularities of curves, local rings (14H20) Deformations of complex singularities; vanishing cycles (32S30) Deformations of singularities (14B07) Formal methods and deformations in algebraic geometry (14D15)

Related Items (2)

Families of curves with ordinary singular points on regular surfaces ⋮ Geometry of families of nodal curves on the blown-up projective plane

Cites Work

• On families of singular plane projective curves
• Dimension-Theoretic Characterization of Maximal Irreducible Algebraic Systems of Plane Nodal Curves of a Given Order n and with a Given Number d of Nodes
• Equisingular Deformations of Plane Algebroid Curves
• Deformations of Plane Curves with Nodes and Cusps
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
• Lectures on Curves on an Algebraic Surface. (AM-59)
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