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

Giancarlo Rinaldo, Naoki Terai, Ken Ichi Yoshida

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationCombinatorial Structures in Algebra and Geometry, NSA 2018
EditorsDumitru I. Stamate, Tomasz Szemberg
PublisherSpringer
Pages123-142
Number of pages20
ISBN (Print)9783030521103
DOIs
Publication statusPublished - 2020
Event26th National School on Algebra, NSA 2018 - Constanta, Romania
Duration: Aug 26 2018Sep 1 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume331
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference26th National School on Algebra, NSA 2018
CountryRomania
CityConstanta
Period8/26/189/1/18

Keywords

  • Level ring
  • Licci
  • Stanley-Reisner ideal
  • Twisted conormal module linkage

ASJC Scopus subject areas

  • Mathematics(all)

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