Rational double points on supersingular 𝐾3 surfaces

DOI10.1090/S0025-5718-04-01641-2zbMath1052.14041arXivmath/0311057MaRDI QIDQ4813620

Ichiro Shimada

Publication date: 13 August 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311057

zbMATH Keywords

elliptic fibrationsMordell-Weil groupDynkin diagramsPicard latticesupersingular \(K3\)

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Rational points (14G05) (K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (7)

Unirationality of certain supersingular \(K3\) surfaces in characteristic 5 ⋮ 24 Rational curves on K3 surfaces ⋮ Inseparable maps on \(W_n\)-valued local cohomology groups of nontaut rational double point singularities and the height of K3 surfaces ⋮ On normal \(K3\) surfaces ⋮ The alternating groups and \(K3\) surfaces ⋮ Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic ⋮ Dynkin diagrams of rank 20 on supersingular \(K3\) surfaces

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