Locally complete intersection stanley-reisner ideals

Naoki Terai; Ken Ichi Yoshida

doi:10.1215/ijm/1266934785

Locally complete intersection stanley-reisner ideals

Naoki Terai, Ken Ichi Yoshida

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper, we prove that the Stanley-Reisner ideal of any connected simplicial complex of dimension ≥ 2 that is locally complete intersection is a complete intersection ideal. As an application, we show that the Stanley-Reisner ideal whose powers are Buchsbaum is a complete intersection ideal.

Original language	English
Pages (from-to)	413-429
Number of pages	17
Journal	Illinois Journal of Mathematics
Volume	53
Issue number	2
DOIs	https://doi.org/10.1215/ijm/1266934785
Publication status	Published - 2009
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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abstract = "In this paper, we prove that the Stanley-Reisner ideal of any connected simplicial complex of dimension ≥ 2 that is locally complete intersection is a complete intersection ideal. As an application, we show that the Stanley-Reisner ideal whose powers are Buchsbaum is a complete intersection ideal.",

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Locally complete intersection stanley-reisner ideals

Abstract

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