Arithmeticity of the monodromy of the Wiman-Edge pencil
Publication date
2021-12-08
Authors
Farb, Benson
Looijenga, Eduard
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Document Type
Article
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Abstract
The Wiman–Edge pencil is the universal family of projective, genus 6, complex-algebraic curves endowed with a faithful action of the icosahedral group. The goal of this paper is to prove that its monodromy group is commensurable with a Hilbert modular group; in particular is arithmetic. We then give a modular interpretation of this, as well as a uniformization of its base.
Keywords
Mathematics - Algebraic Geometry, Mathematics - Geometric Topology
Citation
Farb, B & Looijenga, E 2021, 'Arithmeticity of the monodromy of the Wiman-Edge pencil', Annales de l'Institut Fourier, vol. 71, no. 4, pp. 1325-1361. https://doi.org/10.5802/aif.3423