An Explicit Abelian Surface with Maximal Galois Action

@article{Greicius2018AnEA,
  title={An Explicit Abelian Surface with Maximal Galois Action},
  author={Quinn Greicius and Aaron Landesman},
  journal={arXiv: Number Theory},
  year={2018}
}
We construct an explicit example of a genus $2$ curve $C$ over a number field $K$ such that the adelic Galois representation arising from the action of $\operatorname{Gal}(\overline{K}/K)$ on the Jacobian of $C$ has image $\operatorname{GSp}_4(\widehat{\mathbb Z})$. 

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