The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3

DOI10.1007/BF02571415zbMath0739.14011MaRDI QIDQ811599

Hiroyuki Ito

Publication date: 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174428

zbMATH Keywords

K3 surfacesNéron-Severi groupsArtin invariantcharacteristic 3Mordell-Weil groups of quasi-elliptic surfacesrational unirational quasi-elliptic surfaces

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Rational and unirational varieties (14M20) (K3) surfaces and Enriques surfaces (14J28) Finite ground fields in algebraic geometry (14G15) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items

Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics, The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 2, Kummer surfaces for the self-product of the cuspidal rational curve, Rational double points on supersingular 𝐾3 surfaces, Coble surfaces with finite automorphism group, 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, Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. I, Calabi-Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces

Cites Work

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• Unipotent algebraic groups
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• Quasi-elliptic surfaces in characteristic three
• Supersingular $K3$ surfaces