TY - GEN

T1 - Licci Level Stanley-Reisner Ideals with Height Three and with Type Two

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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U2 - 10.1007/978-3-030-52111-0_10

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

M3 - Conference contribution

AN - SCOPUS:85091333104

SN - 9783030521103

T3 - Springer Proceedings in Mathematics and Statistics

SP - 123

EP - 142

BT - Combinatorial Structures in Algebra and Geometry, NSA 2018

A2 - Stamate, Dumitru I.

A2 - Szemberg, Tomasz

PB - Springer

T2 - 26th National School on Algebra, NSA 2018

Y2 - 26 August 2018 through 1 September 2018

ER -