Plane Curves Whose Singular Points are Cusps

DOI10.2307/2046843zbMath0698.14021OpenAlexW4230039037MaRDI QIDQ3475379

Hisao Yoshihara

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046843

zbMATH Keywords

plane curveresolutioncuspsMiyaoka inequalityMilnor numbers of the singularities

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Characteristic classes and numbers in differential topology (57R20) Special algebraic curves and curves of low genus (14H45) Singularities of curves, local rings (14H20)

Related Items (5)

On classifications of rational sextic curves ⋮ On a class of rational cuspidal plane curves ⋮ Sextic curves with simple singularities ⋮ Plane curves whose singular points are cusps and triple coverings of \(\mathbb{P}^2\) ⋮ Complex planar curves homeomorphic to a line have at most four singular points

Cites Work

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• The maximal number of quotient singularities on surfaces with given numerical invariants
• On plane rational curves
• On the logarithmic Kodaira dimension of the complement of a curve in \(P^2\)
• Some examples of algebraic surfaces
• On the Non-Existence of Curves of Order 8 with 16 Cusps

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