English

Simplicial 2-spheres obtained from non-singular complete fans

Combinatorics 2016-04-29 v1 Algebraic Geometry Algebraic Topology

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 18\leq 18 vertices is the underlying simplicial complex of such a fan.

Keywords

Cite

@article{arxiv.1409.3713,
  title  = {Simplicial 2-spheres obtained from non-singular complete fans},
  author = {Yusuke Suyama},
  journal= {arXiv preprint arXiv:1409.3713},
  year   = {2016}
}

Comments

9 pages, 39 figures

R2 v1 2026-06-22T05:55:16.541Z