English

An explicit Abelian surface with maximal Galois action

Number Theory 2019-12-18 v2

Abstract

We construct an explicit example of a genus 22 curve CC over a number field KK such that the adelic Galois representation arising from the action of Gal(K/K)\operatorname{Gal}(\overline{K}/K) on the Jacobian of CC has image GSp4(Z^)\operatorname{GSp}_4(\widehat{\mathbb Z}).

Keywords

Cite

@article{arxiv.1804.00032,
  title  = {An explicit Abelian surface with maximal Galois action},
  author = {Quinn Greicius and Aaron Landesman},
  journal= {arXiv preprint arXiv:1804.00032},
  year   = {2019}
}
R2 v1 2026-06-23T01:10:07.457Z