威曼几何学，I：代数-几何方面
Geometry of the Wiman Pencil, I: Algebro-Geometric Aspects
摘要：
1981年，W.L. Edge发现并研究了具有显著性质的高对称亏格$6$射影曲线的束$\mathcal{C}$.埃奇的工作是基于1895年A.威曼这两篇论文都写在令人满意的风格19世纪代数几何。在本文及其续集[FL]中，我们从一个更现代的概念角度考虑$\mathcal{C}$，从而将显式方程转化为几何对象。
英文摘要：
In 1981 W.L. Edge discovered and studied a pencil $\mathcal{C}$ of highly symmetric genus $6$ projective curves with remarkable properties. Edge's 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
