Elementary transformations of Dynkin graphs and singularities on quartic surfaces

DOI10.1007/BF01389242zbMath0612.14035MaRDI QIDQ1087944

Tohsuke Urabe

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143435

zbMATH Keywords

quadratic formroot systemsperiod map for K3 surfacessimple singularities on a quartic surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17) Quadratic forms over global rings and fields (11E12) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Dynkin graphs, Gabrielov graphs, and triangle singularities, On set theoretic complete intersections in \({\mathbb{P}}^ 3\), Tie transformations of Dynkin graphs and singularities on quartic surfaces, Linear symmetric determinantal hypersurfaces, Rational double points on a normal quinticK3 surface, Rational double points on a normal octicK3 surface, An integrable nineteen vertex model lying on a hypersurface, Ruled quartic surfaces, models and classification, Algebraic varieties with simple singularities related to some reflection groups, The maximum number of lines lying on a \(K3\) quartic surface, Real representatives of equisingular strata of simple quartic surfaces

Cites Work

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• Depth of rational double points on quartic surfaces
• Fifteen characterizations of rational double points and simple critical points
• Every K 3 surface is Kähler
• Klassenzahlen definiter quadratischer Formen
• On quartic surfaces and sextic curves with certain singularities
• On quartic surfaces and sextic curves with singularities of type \(\tilde E_ 8\), \(T_{2,3,7}\), \(E_{12}\)
• Dynkin graphs and combinations of singularities on quartic surfaces
• Classification on non-normal quartic surfaces
• On the enumeration of lattices of determinant one
• Introduction to Grothendieck duality theory
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Projective Models of K - 3 Surfaces
• On Isolated Rational Singularities of Surfaces