Licci level Stanley-Reisner ideals with height three

Giancarlo Rinaldo; Naoki Terai

doi:10.1007/s40863-022-00326-8

Licci level Stanley-Reisner ideals with height three

Giancarlo Rinaldo, Naoki Terai

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

Abstract

Using a computer we classify licci level* squarefree monomial ideals I with codimension 3 and with dim S/ I≤ 4. We also show the following two conditions are equivalent: (1) IS_m is licci, (2) the twisted conormal module of I is Cohen-Macaulay, where S is a polynomial ring and m is its graded maximal ideal.

Original language	English
Journal	Sao Paulo Journal of Mathematical Sciences
DOIs	https://doi.org/10.1007/s40863-022-00326-8
Publication status	Accepted/In press - 2022

Keywords

Level ring
Licci
Linkage
Stanley-Reisner ideal
Twisted conormal module

ASJC Scopus subject areas

Mathematics(all)
Statistics, Probability and Uncertainty
Computational Theory and Mathematics

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10.1007/s40863-022-00326-8

Cite this

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title = "Licci level Stanley-Reisner ideals with height three",

abstract = "Using a computer we classify licci level* squarefree monomial ideals I with codimension 3 and with dim S/ I≤ 4. We also show the following two conditions are equivalent: (1) ISm is licci, (2) the twisted conormal module of I is Cohen-Macaulay, where S is a polynomial ring and m is its graded maximal ideal.",

keywords = "Level ring, Licci, Linkage, Stanley-Reisner ideal, Twisted conormal module",

author = "Giancarlo Rinaldo and Naoki Terai",

note = "Funding Information: This work was partially supported by JSPS Grant-in-Aid for Scientific Research (C) 18K03244. We thank Ryota Okazaki for providing a macro to check Cohen-Macaulay property for the twisted conormal module of an ideal. We thank the referee for very careful reading of the article. Publisher Copyright: {\textcopyright} 2022, Instituto de Matem{\'a}tica e Estat{\'i}stica da Universidade de S{\~a}o Paulo.",

year = "2022",

doi = "10.1007/s40863-022-00326-8",

language = "English",

journal = "Sao Paulo Journal of Mathematical Sciences",

issn = "1982-6907",

publisher = "Springer International Publishing AG",

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TY - JOUR

T1 - Licci level Stanley-Reisner ideals with height three

AU - Rinaldo, Giancarlo

AU - Terai, Naoki

N1 - Funding Information: This work was partially supported by JSPS Grant-in-Aid for Scientific Research (C) 18K03244. We thank Ryota Okazaki for providing a macro to check Cohen-Macaulay property for the twisted conormal module of an ideal. We thank the referee for very careful reading of the article. Publisher Copyright: © 2022, Instituto de Matemática e Estatística da Universidade de São Paulo.

PY - 2022

Y1 - 2022

N2 - Using a computer we classify licci level* squarefree monomial ideals I with codimension 3 and with dim S/ I≤ 4. We also show the following two conditions are equivalent: (1) ISm is licci, (2) the twisted conormal module of I is Cohen-Macaulay, where S is a polynomial ring and m is its graded maximal ideal.

AB - Using a computer we classify licci level* squarefree monomial ideals I with codimension 3 and with dim S/ I≤ 4. We also show the following two conditions are equivalent: (1) ISm is licci, (2) the twisted conormal module of I is Cohen-Macaulay, where S is a polynomial ring and m is its graded maximal ideal.

KW - Level ring

KW - Licci

KW - Linkage

KW - Stanley-Reisner ideal

KW - Twisted conormal module

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U2 - 10.1007/s40863-022-00326-8

DO - 10.1007/s40863-022-00326-8

M3 - Article

AN - SCOPUS:85138086324

SN - 1982-6907

JO - Sao Paulo Journal of Mathematical Sciences

JF - Sao Paulo Journal of Mathematical Sciences

ER -

Licci level Stanley-Reisner ideals with height three

Abstract

Keywords

ASJC Scopus subject areas

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