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Bounds for the Betti numbers of successive stellar subdivisions of a simplex by Boehm, Janko; Papadakis, Stavros Argyrios is a scholarly article available to read on EtoBox.

What is Bounds for the Betti numbers of successive stellar subdivisions of a simplex about?

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.

Author

Boehm, Janko; Papadakis, Stavros Argyrios

Published

2012

Language

EN