Examples of genus two fibrations with no sections on rational surfaces

DOI10.3792/pjaa.93.93zbMath1390.14038OpenAlexW2765224802MaRDI QIDQ1705658

Shinya Kitagawa

Publication date: 16 March 2018

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.93.93

zbMATH Keywords

rational surfacesMordell-Weil groupssections of fibrations

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Fibrations, degenerations in algebraic geometry (14D06)

Cites Work

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• On rational elliptic surfaces with multiple fibers
• On upper bounds of virtual Mordell-Weil ranks
• On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces
• On Mordell-Weil lattices of higher genus fibrations on rational surfaces
• Maximal Mordell-Weil lattices of fibred surfaces with \(p_g=q=0\)
• The complete classification of fibres in pencils of curves of genus two
• Fibred rational surfaces with extremal Mordell-Weil lattices
• Birational classification of curves on rational surfaces
• Extremal hyperelliptic fibrations on rational surfaces
• On the Structure of Compact Complex Analytic Surfaces, I

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