Computation of Betti numbers of monomial ideals associated with cyclic polytopes

N. Terai; T. Hibi

doi:10.1007/BF02711496

Computation of Betti numbers of monomial ideals associated with cyclic polytopes

N. Terai, T. Hibi

研究成果 › 査読

7 被引用数 (Scopus)

抄録

We give a combinatorial formula for the Betti numbers which appear in a minimal free resolution of the Stanley-Reisner ring k[Δ(P)] = A/I_Δ(P), of the boundary complex Δ(P) of an odd-dimensional cyclic polytope P over a field k. A corollary to the formula is that the Betti number sequence of k[Δ(P)] is unimodal and does not depend on the base field k.

本文言語	English
ページ（範囲）	287-295
ページ数	9
ジャーナル	Discrete and Computational Geometry
巻	15
号	3
DOI	https://doi.org/10.1007/BF02711496
出版ステータス	Published - 4月 1996
外部発表	はい

ASJC Scopus subject areas

理論的コンピュータサイエンス
幾何学とトポロジー
離散数学と組合せ数学
計算理論と計算数学

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10.1007/BF02711496

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Computation of Betti numbers of monomial ideals associated with cyclic polytopes

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