The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 2

DOI10.2748/tmj/1178225759zbMath0820.14015OpenAlexW2134511925MaRDI QIDQ1335557

Hiroyuki Ito

Publication date: 16 October 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225759

zbMATH Keywords

characteristic 2Mordell-Weil groupsunirational quasi-elliptic surfaces

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) 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 ⋮ Rational double points on supersingular 𝐾3 surfaces ⋮ Pathologies and liftability of Du Val del Pezzo surfaces in positive characteristic ⋮ Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three ⋮ Coble surfaces in characteristic two ⋮ Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. I ⋮ Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. II ⋮ Deformation of a singularity of type E8 and Mordell-Weil lattices in characteristic 2 ⋮ Calabi-Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces ⋮ Enriques surfaces with normal \(K3\)-like coverings

Cites Work

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• Mordell-Weil lattices and Galois representation. I
• The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3
• Enriques surfaces. I
• On compact analytic surfaces. III
• Supersingular $K3$ surfaces
• Genus Change in Inseparable Extensions of Function Fields

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