Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

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The categories of this paper are: atom-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics