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摘要翻译：
Felix Klein在他的著名著作中，用有限转动群描述了普通球面商的复变量，特别是用二十面体对称群描述了商的最复杂情况。本文及其后续工作的目的是对三维球面的商得到类似的结果。利用群$SU(2)$及其表示的各种性质，得到坐标的显式表达式及其所满足的关系。
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英文标题：
《On the icosahedron: from two to three dimensions》
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作者：
Marc P. Bellon
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
In his famous book, Felix Klein describes a complex variable for the quotients of the ordinary sphere by the finite groups of rotations and in particular for the most complex situation of the quotient by the symmetry group of the icosahedron. The purpose of this work and its sequels is to obtain similar results for the quotients of the three--dimensional sphere. Various properties of the group $SU(2)$ and of its representations are used to obtain explicit expressions for coordinates and the relations they satisfy.
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PDF链接：
https://arxiv.org/pdf/0705.3241
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