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arXiv · 1002.0828

Combinatorial rigidity of 3-dimensional simplicial polytopes

Suyoung Choi·Jang Soo Kim
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Abstract

A simplicial polytope is combinatorially rigid if its combinatorial structure is determined by its graded Betti numbers which are important invariant coming from combinatorial commutative algebra. We find a necessary condition to be combinatorially rigid for 3-dimensional reducible simplicial polytopes and provide some rigid reducible simplicial polytopes.

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Suyoung Choi, Jang Soo Kim. 2010-02-03. Combinatorial rigidity of 3-dimensional simplicial polytopes. https://arxiv.org/abs/1002.0828

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