Classifications of elliptic fibrations of a singular K3 surface

2015/01/29 by Marie José Bertin, Alice Garbagnati, Bertin, Marie José +11
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1501.07484

Abstract

We classify, up to automorphisms, the elliptic fibrations on the singular K3 surface X whose transcendental lattice is isometric to ⟨ 6⟩⊕ ⟨ 2⟩.

Related

• Automorphisms of certain Niemeier lattices and Elliptic Fibrations
• On Extremal Elliptic K3 Surfaces
• Classification of all Jacobian elliptic fibrations on certain K3 surfaces
• Elliptic fibrations and involutions on K3 surfaces
• Some observations about isogenies between K3 surfaces