The elliptic \(K\)3 surfaces with a maximal singular fibre.

DOI10.1016/j.crma.2003.07.007zbMath1048.14017OpenAlexW2006520451MaRDI QIDQ1415528

Tetsuji Shioda

Publication date: 4 December 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.07.007

zbMATH Keywords

elliptic K3 surfacesdefining equations of surfacesmaximal singular fibrenumber of irreducible comonentsreduction modulo \(p\)

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Families, moduli, classification: algebraic theory (14J10)

Related Items (10)

Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds ⋮ Modular groups and planar maps ⋮ An interesting elliptic surface over an elliptic curve ⋮ On the uniqueness of elliptic \(K3\) surfaces with maximal singular fibre ⋮ Compact moduli of elliptic K3 surfaces ⋮ Inseparable maps on \(W_n\)-valued local cohomology groups of nontaut rational double point singularities and the height of K3 surfaces ⋮ The \(abc\)-theorem, Davenport's inequality and elliptic surfaces ⋮ Elliptic fibrations of some extremal \(K3\) surfaces ⋮ Transcendental lattices and supersingular reduction lattices of a singular 𝐾3 surface ⋮ Arithmetic of a singular \(K3\) surface

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