arxiv: 1212.4358 · v1 · pith:KFNJ5BALnew · submitted 2012-12-18 · 🧮 math.AC · math.CO

Bounds for the Betti numbers of successive stellar subdivisions of a simplex

Janko Boehm , Stavros Argyrios Papadakis This is my paper

classification 🧮 math.AC math.CO

keywords bettiboundnumbersstellarsubdivisionscomplexsimplexapplying

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We give a bound for the Betti numbers of the Stanley-Reisner ring of a stellar subdivision of a Gorenstein* simplicial complex by applying unprojection theory. From this we derive a bound for the Betti numbers of iterated stellar subdivisions of the boundary complex of a simplex. The bound depends only on the number of subdivisions, and we construct examples which prove that it is sharp.

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Bounds for the Betti numbers of successive stellar subdivisions of a simplex

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