Bounds for the Betti numbers of successive stellar subdivisions of a   simplex
  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. 
Janko Boehm, Stavros Argyrios Papadakis
math.AC math.CO