On quartic surfaces and sextic curves with singularities of type \(\tilde E_ 8\), \(T_{2,3,7}\), \(E_{12}\)

DOI10.2977/prims/1195180376zbMath0601.14031OpenAlexW1991033421MaRDI QIDQ1080910

Tohsuke Urabe

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195180376

zbMATH Keywords

prescribed singularitiesDynkin diagramssextic curvesaction of the Weyl group on the moduli spacenormal quartic surfaces

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Singularities of curves, local rings (14H20) Special surfaces (14J25)

Related Items

Elementary transformations of Dynkin graphs and singularities on quartic surfaces ⋮ Rational quartic symmetroids ⋮ On quartic surfaces and sextic curves with certain singularities ⋮ Plane Algebraic Curves with Prescribed Singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Depth of rational double points on quartic surfaces
• On quartic surfaces and sextic curves with certain singularities
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Local normal forms of functions
• Rational surfaces with an anti-canonical cycle
• Über Modifikationen und exzeptionelle analytische Mengen
• Semisimple subalgebras of semisimple Lie algebras
• Quartic Surfaces of Elliptic Ruled Type
• Degenerations of K3 Surfaces of Degree 4
• Projective Models of K - 3 Surfaces
• On Isolated Rational Singularities of Surfaces
• Elliptic Singularities of Surfaces
• On Rational Singuarities