Mordell-Weil lattices and Galois representation. III

DOI10.3792/pjaa.65.300zbMath0715.14017OpenAlexW4251418011MaRDI QIDQ752111

Tetsuji Shioda

Publication date: 1989

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.65.300

zbMATH Keywords

elliptic curvesMordell-Weil groupelliptic surfacesdel Pezzo surfacesGalois representationsWeil heightcubic formsMordell-Weil latticesHasse zeta functionArtin L-functiondeformation theory of isolated singularities

Mathematics Subject Classification ID

Galois theory (11R32) Elliptic curves over global fields (11G05) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (3)

Mordell-Weil lattices for higher genus fibration ⋮ Existence of a rational elliptic surface with a given Mordell-Weil lattice ⋮ On central extensions and simply laced Lie algebras

Cites Work

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• Séminaire sur les singularités des surfaces. Centre de Mathématiques de l'École Polytechnique, Palaiseau 1976-1977
• Mordell-Weil lattices and Galois representation. I
• The Galois representation of type \(E_8\) arising from certain Mordell-Weil groups
• Simple singularities and simple algebraic groups
• Variation of the Canonical Height of a Point Depending on a Parameter

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