Ramified Primes in the Field of Definition for the Mordell-Weil Group of an Elliptic Surface

DOI10.2307/2159473zbMath0786.14010OpenAlexW4240562587MaRDI QIDQ4027768

Masato Kuwata

Publication date: 1 March 1993

Full work available at URL: https://doi.org/10.2307/2159473

zbMATH Keywords

elliptic curveconfiguration of the points of bad fibersfield of definition for the Mordell-Weil groupramification of field extension

Mathematics Subject Classification ID

Rational points (14G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Varieties over global fields (11G35)

Cites Work

• Mordell-Weil lattices and Galois representation. I
• Ramified primes in the field of moduli of branched coverings of curves
• The Galois representation of type \(E_8\) arising from certain Mordell-Weil groups
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