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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 2, Pages 277–288
(Mi dvmg315)
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This article is cited in 2 scientific papers (total in 2 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.
Received: 30.10.2014
Citation:
Yu. Suyama, “Simplicial 2-spheres obtained from non-singular complete fans”, Dal'nevost. Mat. Zh., 15:2 (2015), 277–288
Linking options:
https://www.mathnet.ru/eng/dvmg315 https://www.mathnet.ru/eng/dvmg/v15/i2/p277
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Abstract page: | 278 | Full-text PDF : | 65 | References: | 49 |
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