Classifications of elliptic fibrations of a singular K3 surface

TL;DR

This paper classifies elliptic fibrations on a specific singular K3 surface, providing a detailed understanding of their automorphisms and lattice structures.

Contribution

It offers a complete classification of elliptic fibrations on a particular singular K3 surface up to automorphisms, highlighting the surface's geometric and lattice properties.

Findings

Classification of elliptic fibrations on the given K3 surface

Identification of automorphism groups related to these fibrations

Analysis of the transcendental lattice structure

Abstract

We classify, up to automorphisms, the elliptic fibrations on the singular K3 surface $X$ whose transcendental lattice is isometric to $\langle 6\rangle\oplus \langle 2\rangle$.