On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces

DOI10.1007/BF02984108zbMath0984.14013OpenAlexW2068327486MaRDI QIDQ1592204

Nguyen Khac Viet

Publication date: 16 January 2001

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02984108

zbMATH Keywords

rational surfacefibrationMordell-Weil lattice

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational and unirational varieties (14M20) Jacobians, Prym varieties (14H40) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (3)

Examples of genus two fibrations with no sections on rational surfaces ⋮ Unnamed Item ⋮ Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds

Cites Work

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• On upper bounds of virtual Mordell-Weil ranks
• On Mordell-Weil lattices of higher genus fibrations on rational surfaces
• On Beauville's conjecture and related topics
• Mordell-Weil lattices for higher genus fibration
• Bogomolov conjecture over function fields for stable curves with only irreducible fibers (Version 2.0)
• BETTI AND PICARD NUMBERS OF ABSTRACT ALGEBRAIC SURFACES
• Pencils on an Algebraic Variety and a New Proof of a Theorem of Bertini

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