Licci Level Stanley-Reisner Ideals with Height Three and with Type Two

Giancarlo Rinaldo; Naoki Terai; Ken Ichi Yoshida

doi:10.1007/978-3-030-52111-0_10

Licci Level Stanley-Reisner Ideals with Height Three and with Type Two

Giancarlo Rinaldo, Naoki Terai, Ken Ichi Yoshida

School of Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

Via computer-aided classification we show that the following three conditions are equivalent for level* squarefree monomial ideals I with codimension 3, with Cohen-Macaulay type 2 and with is licci, (2) the twisted conormal module of I is Cohen-Macaulay, (3) is Cohen-Macaulay, where S is a polynomial ring over a field of characteristic 0 and is its graded maximal ideal.

Original language	English
Title of host publication	Combinatorial Structures in Algebra and Geometry, NSA 2018
Editors	Dumitru I. Stamate, Tomasz Szemberg
Publisher	Springer
Pages	123-142
Number of pages	20
ISBN (Print)	9783030521103
DOIs	https://doi.org/10.1007/978-3-030-52111-0_10
Publication status	Published - 2020
Event	26th National School on Algebra, NSA 2018 - Constanta, Romania Duration: Aug 26 2018 → Sept 1 2018

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	331
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	26th National School on Algebra, NSA 2018
Country/Territory	Romania
City	Constanta
Period	8/26/18 → 9/1/18

Keywords

Level ring
Licci
Stanley-Reisner ideal
Twisted conormal module linkage

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-030-52111-0_10

Cite this

Licci Level Stanley-Reisner Ideals with Height Three and with Type Two. / Rinaldo, Giancarlo; Terai, Naoki; Yoshida, Ken Ichi.
Combinatorial Structures in Algebra and Geometry, NSA 2018. ed. / Dumitru I. Stamate; Tomasz Szemberg. Springer, 2020. p. 123-142 (Springer Proceedings in Mathematics and Statistics; Vol. 331).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Rinaldo, G, Terai, N & Yoshida, KI 2020, Licci Level Stanley-Reisner Ideals with Height Three and with Type Two. in DI Stamate & T Szemberg (eds), Combinatorial Structures in Algebra and Geometry, NSA 2018. Springer Proceedings in Mathematics and Statistics, vol. 331, Springer, pp. 123-142, 26th National School on Algebra, NSA 2018, Constanta, Romania, 8/26/18. https://doi.org/10.1007/978-3-030-52111-0_10

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title = "Licci Level Stanley-Reisner Ideals with Height Three and with Type Two",

abstract = "Via computer-aided classification we show that the following three conditions are equivalent for level* squarefree monomial ideals I with codimension 3, with Cohen-Macaulay type 2 and with is licci, (2) the twisted conormal module of I is Cohen-Macaulay, (3) is Cohen-Macaulay, where S is a polynomial ring over a field of characteristic 0 and is its graded maximal ideal.",

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

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

note = "Funding Information: Acknowledgements This work was partially supported by JSPS Grant-in Aid for Scientific Research (C) 18K03244, 19K03430 and the Algebra group of Department of Mathematics, University of Trento. We thank Ryota Okazaki for providing a macro to check Cohen-Macaulay property for the twisted conormal module of an ideal. The paper is in final form and no similar paper has been or is being submitted elsewhere. Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 26th National School on Algebra, NSA 2018 ; Conference date: 26-08-2018 Through 01-09-2018",

year = "2020",

doi = "10.1007/978-3-030-52111-0_10",

language = "English",

isbn = "9783030521103",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "123--142",

editor = "Stamate, {Dumitru I.} and Tomasz Szemberg",

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AU - Rinaldo, Giancarlo

AU - Terai, Naoki

AU - Yoshida, Ken Ichi

N1 - Funding Information: Acknowledgements This work was partially supported by JSPS Grant-in Aid for Scientific Research (C) 18K03244, 19K03430 and the Algebra group of Department of Mathematics, University of Trento. We thank Ryota Okazaki for providing a macro to check Cohen-Macaulay property for the twisted conormal module of an ideal. The paper is in final form and no similar paper has been or is being submitted elsewhere. Publisher Copyright: © 2020, Springer Nature Switzerland AG.

PY - 2020

Y1 - 2020

N2 - Via computer-aided classification we show that the following three conditions are equivalent for level* squarefree monomial ideals I with codimension 3, with Cohen-Macaulay type 2 and with is licci, (2) the twisted conormal module of I is Cohen-Macaulay, (3) is Cohen-Macaulay, where S is a polynomial ring over a field of characteristic 0 and is its graded maximal ideal.

AB - Via computer-aided classification we show that the following three conditions are equivalent for level* squarefree monomial ideals I with codimension 3, with Cohen-Macaulay type 2 and with is licci, (2) the twisted conormal module of I is Cohen-Macaulay, (3) is Cohen-Macaulay, where S is a polynomial ring over a field of characteristic 0 and is its graded maximal ideal.

KW - Level ring

KW - Licci

KW - Stanley-Reisner ideal

KW - Twisted conormal module linkage

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BT - Combinatorial Structures in Algebra and Geometry, NSA 2018

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ER -

Licci Level Stanley-Reisner Ideals with Height Three and with Type Two

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