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The \(abc\)-theorem, Davenport's inequality and elliptic surfaces

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Publication:930128
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DOI10.3792/pjaa.84.51zbMath1141.14020OpenAlexW2047352475MaRDI QIDQ930128

Tetsuji Shioda

Publication date: 20 June 2008

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1207076276



Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)


Related Items

A Stothers-Mason theorem with a difference radical ⋮ The exceptional set in Vojta’s conjecture for algebraic points of bounded degree



Cites Work

  • Configurations of \(I_ n\) fibers on elliptic K3 surfaces
  • Elliptic surfaces with four singular fibres
  • The elliptic \(K\)3 surfaces with a maximal singular fibre.
  • Graphs on surfaces and their applications. Appendix by Don B. Zagier
  • Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
  • On elliptic modular surfaces
  • On compact analytic surfaces. II
  • Algorithm for determining the type of a singular fiber in an elliptic pencil
  • Old and new conjectured diophantine inequalities
  • The S-unit equation over function fields
  • POLYNOMIAL IDENTITIES AND HAUPTMODULN
  • Algorithmic Number Theory
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