Elliptic Fibrations on the Modular Surface Associated to Γ 1(8)

DOI10.1007/978-1-4614-6403-7_6zbMath1312.14090arXiv1105.6312OpenAlexW1939219736MaRDI QIDQ2926114

Marie José Bertin, Odile Lecacheux

Publication date: 30 October 2014

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.6312

zbMATH Keywords

Niemeier latticesmodular surfaceselliptic fibrations of \(K3\) surfaces

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Relations with algebraic geometry and topology (11F23)

Related Items (10)

Apéry-Fermi pencil of \(K3\)-surfaces and 2-isogenies ⋮ Counting elliptic fibrations on \(\mathrm{K}3\) surfaces ⋮ Weierstrass equations for all elliptic fibrations on the modular \(K3\) surface associated to \(\Gamma_1(7)\) ⋮ Weierstrass Equations for the Elliptic Fibrations of a K3 Surface ⋮ Elliptic curves with torsion groups \(\mathbb{Z}/8\mathbb{Z}\) and \(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/6\mathbb{Z}\) ⋮ Van Geemen-Sarti involutions and elliptic fibrations on \(K3\) surfaces double cover of \(\mathbb{P}^2\) ⋮ Elliptic fibrations on \(K3\) surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus ⋮ Classifications of Elliptic Fibrations of a Singular K3 Surface ⋮ Mahler measures of elliptic modular surfaces ⋮ Diophantine triples and \(K3\) surfaces

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