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تسجيل مستخدم جديدGeometry of the Wiman Pencil, I: Algebro-Geometric Aspects
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In 1981 W.L. Edge discovered and studied a pencil $mathcal{C}$ of highly symmetric genus $6$ projective curves with remarkable properties. Edges work was based on an 1895 paper of A. Wiman. Both papers were written in the satisfying style of 19th century algebraic geometry. In this paper and its sequel [FL], we consider $mathcal{C}$ from a more modern, conceptual perspective, whereby explicit equations are reincarnated as geometric objects.
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The {em Wiman-Edge pencil} is the universal family $C_t, tinmathcal B$ of projective, genus $6$, complex-algebraic curves admitting a faithful action of the icosahedral group $Af_5$. The curve $C_0$, discovered by Wiman in 1895 cite{Wiman} and called
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