Geometry of the Wiman–Edge pencil, I: algebro-geometric aspects
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Publication date
2018-09-01
Authors
Dolgachev, Igor
Farb, Benson
Looijenga, E.J.N.
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Article
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Abstract
In 1981 William L. Edge discovered and studied a pencil C of highly symmetric genus 6 projective curves with remarkable properties. Edge’s work was based on an 1895 paper of Anders Wiman. Both papers were written in the satisfying style of 19th century algebraic geometry. In this paper and its sequel Geometry of the Wiman–Edge pencil, II: hyperbolic, conformal and modular aspects (in preparation), we consider C from a more modern, conceptual perspective, whereby explicit equations are reincarnated as geometric objects.
Keywords
Icosahedral symmetry, Wiman curve, Wiman–Edge pencil, General Mathematics
Citation
Dolgachev, I, Farb, B & Looijenga, E 2018, 'Geometry of the Wiman–Edge pencil, I : algebro-geometric aspects', European Journal of Mathematics, vol. 4, no. 3, pp. 879-930. https://doi.org/10.1007/s40879-018-0231-3