Abstract
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.
Citation
Janko BÖHM. Stavros Argyrios PAPADAKIS. "Bounds for the Betti numbers of successive stellar subdivisions of a simplex." Hokkaido Math. J. 44 (3) 341 - 364, October 2015. https://doi.org/10.14492/hokmj/1470053368
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