Two-coverings of Jacobians of curves of genus two

TL;DR

This paper provides explicit equations for two-coverings of Jacobians of genus two curves over any field with characteristic not two, facilitating further research and applications in algebraic geometry.

Contribution

It introduces a method to explicitly compute two-coverings of Jacobians of genus two curves over arbitrary fields, expanding the toolkit for algebraic geometers.

Findings

Explicit equations for two-coverings are derived.

Applicable over any ground field with characteristic ≠ 2.

Enhances computational approaches in algebraic geometry.

Abstract

We find explicit equations for two-coverings of Jacobians of genus two curves over an arbitrary ground field of characteristic different from two.