Combinatorial rigidity of 3-dimensional simplicial polytopes

Details Combinatorial rigidity of 3-dimensional simplicial polytopes Combinatorial rigidity of 3-dimensional simplicial polytopes

2010-02-03

arxiv.org/abs/1002.0828v1

Int Math Res Notices 2011 (2011), 1935-1951

Mathematics

Combinatorics

13 pages, 4 figures

Scientific paper

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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