Geometric bistellar flips. The setting, the context and a construction
| dc.creator | Santos, Francisco | |
| dc.date | 2006-01-30 | |
| dc.date.accessioned | 2026-07-07T08:07:29Z | |
| dc.date.available | 2026-07-07T08:07:29Z | |
| dc.description | We give a self-contained introduction to the theory of secondary polytopes and geometric bistellar flips in triangulations of polytopes and point sets, as well as a review of some of the known results and connections to algebraic geometry, topological combinatorics, and other areas. As a new result, we announce the construction of a point set in general position with a disconnected space of triangulations. This shows, for the first time, that the poset of strict polyhedral subdivisions of a point set is not always connected. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601746 | |
| dc.identifier | http://arxiv.org/abs/math/0601746 | |
| dc.identifier | In "Proceedings of the International Congress of Mathematicians, 2006" (M. Sanz-Sole, J. Soria, J. L. Varona, J. Verdera, eds.), Eur. Math. Soc., 2006, Vol III, pp. 931-962 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130952 | |
| dc.subject | Combinatorics | |
| dc.subject | Primary 52B11; Secondary 52B20 | |
| dc.title | Geometric bistellar flips. The setting, the context and a construction | |
| dc.type | text |