Elliptic fibrations on a generic Jacobian Kummer surface

DOI10.1090/S1056-3911-2014-00620-2zbMath1304.14045arXiv1105.1715MaRDI QIDQ2922500

Abhinav Kumar

Publication date: 10 October 2014

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1715

zbMATH Keywords

elliptic fibrationsWeierstrass equationKummer surfacesJacobian of a curve, Mordell-Weil lattice

Mathematics Subject Classification ID

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

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Uses Software

• PermLib
• SymPol

Cites Work

• Some elliptic curves arising from the Leech lattice
• Finiteness results for algebraic K3 surfaces
• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• Automorphism groups of Lorentzian lattices
• Arithmetic variety of moduli for genus two
• The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• K3 Surfaces Associated with Curves of Genus Two
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3
• C++ Tools for Exploiting Polyhedral Symmetries
• Two extremal elliptic fibrations on Jacobian Kummer surfaces
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