Projectivities in Simplicial Complexes and Colorings of Simple Polytopes

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For each strongly connected finite-dimensional (pure) simplicial complex we construct a finite group, the group of projectivities of the complex, which is a combinatorial but not a topological invariant. This group is studied for combinatorial manifolds and, in particular, for polytopal simplicial spheres. The results are applied to a coloring problem for simplicial (or, dually, simple) polytopes which arises in the area of toric algebraic varieties.
16 pages, Latex2e

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Combinatorics, Algebraic Geometry, Metric Geometry, 52B05 (52B11; 52B70; 57Q15; 05C15; 14M25)

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http://salesiana.dossiersoluciones.com/handle/123456789/60996

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102186
 http://arxiv.org/abs/math/0102186

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arXiv