The minimal height of Jacobian fibrations on \(K3\) surfaces

DOI10.2748/tmj/1178225295zbMath0893.14012OpenAlexW1966569422MaRDI QIDQ1362568

Ken'ichi Nishiyama

Publication date: 22 September 1997

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

Full work available at URL: https://doi.org/10.2748/tmj/1178225295

zbMATH Keywords

Mordell-Weil groupelliptic fibrationK3 surfaceheight pairingJacobian fibration

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Families, fibrations in algebraic geometry (14D99)

Cites Work

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• Existence of a rational elliptic surface with a given Mordell-Weil lattice
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3