This article is cited in 3 papers

Simplicial 2-spheres obtained from non-singular complete fans

Yu. Suyama

Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585 JAPAN

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.

Key words: triangulation, fan, toric topology.

MSC: Primary 52B05; Secondary 14M25

Received: 30.10.2014

Language: English

Bibliographic databases:

•