Singerman, D. and Syddall, R.I.
Belyi uniformization of elliptic curves.
Bulletin of the London Mathematical Society, 29, (4), . (doi:10.1112/S0024609396002834).
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Belyi's Theorem implies that a Riemann surface X represents a curve defined over a number field if and only if it can be expressed as U/?, where U is simply-connected and ? is a subgroup of finite index in a triangle group. We consider the case when X has genus 1, and ask for which curves and number fields ? can be chosen to be a lattice. As an application, we give examples of Galois actions on Grothendieck dessins.
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