Weierstrass equations for Jacobian fibrations on a certain \(K3\) surface

zbMath1262.14044arXiv1205.3429MaRDI QIDQ1940036

Kazuki Utsumi

Publication date: 5 March 2013

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3429

zbMATH Keywords

elliptic fibrations\(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (3)

Counting elliptic fibrations on \(\mathrm{K}3\) surfaces ⋮ 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

Uses Software

• ESC

Cites Work

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• Some elliptic curves arising from the Leech lattice
• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• Classification of all Jacobian elliptic fibrations on certain \(K3\) surfaces
• On compact analytic surfaces. II
• Elliptic fibrations on a generic Jacobian Kummer surface
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Jacobians of genus one curves.

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