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math.AC2009★ 5 cited
On the structure of Stanley-Reisner rings associated to cyclic polytopes
Janko Boehm, Stavros Argyrios Papadakis
We study the structure of Stanley-Reisner rings associated to cyclic polytopes, using ideas from unprojection theory. Consider the boundary simplicial complex Delta(d,m) of the d-d…
math.AC2009★ 3 cited
Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes
Janko Boehm, Stavros Argyrios Papadakis
Unprojection theory aims to analyze and construct complicated commutative rings in terms of simpler ones. Our main result is that, on the algebraic level of Stanley-Reisner rings,…