### Far Eastern Mathematical Journal

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Simplicial 2-spheres obtained from non-singular complete fans

Yusuke Suyama

2015, issue 2, Ñ. 277-287

Abstract
We prove that a simplicial 2-sphere satisfying a certain condition is the underlying simplicial complex of a 3-dimensional non-singular complete fan. In particular, this implies that any simplicial 2-sphere with $\leq 18$ vertices is the underlying simplicial complex of such a fan.

Keywords:
triangulation, fan, toric topology