Delaunay triangulations of lens spaces

Details Delaunay triangulations of lens spaces Delaunay triangulations of lens spaces

2009-01-18

arxiv.org/abs/0901.2738v2

Mathematics

Geometric Topology

16 pages, no figures. This second version mentions reference [S2], where the main result was already proved, and is extended t

Scientific paper

We compute the convex hull in $\mathbb{C}^2$ of an arbitrary finite subgroup
of ${\mathbb{C}^*}^2$. The combinatorics are dictated by continued fractions in
a natural way. This reproves a theorem of Smilansky, with a slightly stronger
intermediary step.

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