Configurations of singular fibres on rational elliptic surfaces in characteristic two

DOI10.1080/00927870008827190zbMath1017.14014OpenAlexW2069886136MaRDI QIDQ2707893

William E. Lang

Publication date: 21 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008827190

zbMATH Keywords

characteristic 2rational elliptic surfaceclassification of singular fibres

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Singularities in algebraic geometry (14B05) Finite ground fields in algebraic geometry (14G15) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (10)

Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics ⋮ Canonical coverings of Enriques surfaces in characteristic 2 ⋮ A supplement to Manin's proof of the Hasse inequality ⋮ Classification of Singular Fibers on Rational Elliptic Surfaces in Characteristic Three ⋮ Deformation of a singularity of type E8 and Mordell-Weil lattices in characteristic 2 ⋮ Enriques surfaces with normal \(K3\)-like coverings ⋮ Numerically trivial automorphisms of Enriques surfaces in characteristic 2 ⋮ AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2) ⋮ There is no Enriques surface over the integers ⋮ Three chapters on Cremona groups

Cites Work

• Configurations of Kodaira fibers on rational elliptic surfaces
• Persson's list of singular fibers for a rational elliptic surface
• On extremal rational elliptic surfaces
• Extremal rational elliptic surfaces in characteristic \(p\). I: Beauville surfaces
• Extremal rational elliptic surfaces in characteristic \(p\). II: Surfaces with three or fewer singular fibres
• Algorithm for determining the type of a singular fiber in an elliptic pencil

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