An interesting elliptic surface over an elliptic curve

DOI10.3792/pjaa.83.40zbMath1125.14024arXivmath/0611103OpenAlexW1966006909MaRDI QIDQ2381156

Matthias Schütt, Tetsuji Shioda

Publication date: 25 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0611103

zbMATH Keywords

cusp formselliptic modular surfacesTate's conjecturecommutator subgroup of the modular group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (4)-folds (14J35) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (2)

Explicit Algebraic Coverings of a Pointed Torus ⋮ Unramified sections of the Legendre scheme and modular forms

Cites Work

• The structure of some subgroups of the modular group
• On the classification of elliptic surfaces with \(q=1\)
• On a conjecture of Artin and Tate
• The elliptic \(K\)3 surfaces with a maximal singular fibre.
• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
• On elliptic modular surfaces
• On compact analytic surfaces. II
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Transcendental lattices and supersingular reduction lattices of a singular 𝐾3 surface
• Fibre Systems of Jacobian Varieties: (III. Fibre Systems of Elliptic Curves)
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