Weierstrass equations for Jacobian fibrations on a certain K3 surface

TL;DR

This paper derives explicit Weierstrass equations for Jacobian fibrations on a specific K3 surface obtained from a double cover of the projective plane branched along six lines.

Contribution

It provides explicit Weierstrass equations for Jacobian fibrations on a particular K3 surface, advancing understanding of its elliptic fibration structures.

Findings

Explicit Weierstrass equations for Jacobian fibrations derived

Enhanced understanding of the elliptic fibrations on this K3 surface

Framework applicable to similar algebraic surfaces

Abstract

In this paper we give the Weierstrass equations for Jacobian fibrations on the K3 surface that is the minimal resolution of the double covering of projective plane ramified along generic six lines.