Inspired by recent results of Ein, Lazarsfeld, Erman and Zhou on the non-vanishing of Betti numbers of high Veronese subrings, we describe the behavior of the Betti numbers of Stanley-Reisner rings associated with iterated barycentric or edgewise subdivisions of a given simplicial complex.
ASYMPTOTIC SYZYGIES OF STANLEY-REISNER RINGS OF ITERATED SUBDIVISIONS
Aldo Conca;
2018-01-01
Abstract
Inspired by recent results of Ein, Lazarsfeld, Erman and Zhou on the non-vanishing of Betti numbers of high Veronese subrings, we describe the behavior of the Betti numbers of Stanley-Reisner rings associated with iterated barycentric or edgewise subdivisions of a given simplicial complex.
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(2018) Conca Junkhe-Kubitzke Welker Asymptotic syzygies...subdivisions .pdf
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