On quartic surfaces and sextic curves with certain singularities

DOI10.3792/pjaa.59.434zbMath0549.14013OpenAlexW2037652748MaRDI QIDQ800441

Tohsuke Urabe

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.434

zbMATH Keywords

cusp singularitysextic curvesimple elliptic singularitysingularities of a normal quartic surfaceunimodular exceptional singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Singularities of curves, local rings (14H20)

Related Items (4)

On quartic surfaces and sextic curves with singularities of type \(\tilde E_ 8\), \(T_{2,3,7}\), \(E_{12}\) ⋮ Elementary transformations of Dynkin graphs and singularities on quartic surfaces ⋮ Rational quartic symmetroids ⋮ Plane Algebraic Curves with Prescribed Singularities

Cites Work

• Fifteen characterizations of rational double points and simple critical points
• On quartic surfaces and sextic curves with singularities of type \(\tilde E_ 8\), \(T_{2,3,7}\), \(E_{12}\)
• Einfach-elliptische Singularitäten
• Local normal forms of functions
• Quartic Surfaces of Elliptic Ruled Type

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