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

13 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)

Access to Document

10.1215/ijm/1266934785

Fingerprint Dive into the research topics of 'Locally complete intersection stanley-reisner ideals'. Together they form a unique fingerprint.

Cite this

@article{2c0c7d50296145938d67b0f59fccf4a9,

title = "Locally complete intersection stanley-reisner ideals",

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.",

author = "Naoki Terai and Yoshida, {Ken Ichi}",

year = "2009",

doi = "10.1215/ijm/1266934785",

language = "English",

volume = "53",

pages = "413--429",

journal = "Illinois Journal of Mathematics",

issn = "0019-2082",

publisher = "University of Illinois at Urbana-Champaign",

number = "2",

}

TY - JOUR

T1 - Locally complete intersection stanley-reisner ideals

AU - Terai, Naoki

AU - Yoshida, Ken Ichi

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77957723521&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957723521&partnerID=8YFLogxK

U2 - 10.1215/ijm/1266934785

DO - 10.1215/ijm/1266934785

M3 - Article

AN - SCOPUS:77957723521

VL - 53

SP - 413

EP - 429

JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

SN - 0019-2082

IS - 2

ER -