Delaunay triangulations of lens spaces

Francois Gueritaud

Delaunay triangulations of lens spaces

Geometric Topology 2009-02-01 v2

Authors: Francois Gueritaud

Abstract

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.

Keywords

Delaunay triangulation lens space convex hull continued fraction finite subgroup combinatorics

Cite

@article{arxiv.0901.2738,
  title  = {Delaunay triangulations of lens spaces},
  author = {Francois Gueritaud},
  journal= {arXiv preprint arXiv:0901.2738},
  year   = {2009}
}

Comments

16 pages, no figures. This second version mentions reference [S2], where the main result was already proved, and is extended to achieve the same level of generality as [S2]. Our key step (Claim 12) is slightly stronger than in [S2]

Delaunay triangulations of lens spaces

Abstract

Keywords

Cite

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