Triangulations of polygons and stacked simplicial complexes: separating their Stanley–Reisner ideals

Gunnar Fløystad, Milo Orlich*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

A triangulation of a polygon has an associated Stanley–Reisner ideal. We obtain a full algebraic and combinatorial understanding of these ideals and describe their separated models. More generally, we do this for stacked simplicial complexes, in particular for stacked polytopes.

Original languageEnglish
Pages (from-to)659–686
Number of pages28
JournalJOURNAL OF ALGEBRAIC COMBINATORICS
Volume57
Issue number3
Early online date7 Oct 2022
DOIs
Publication statusPublished - May 2023
MoE publication typeA1 Journal article-refereed

Keywords

  • Independent vertices
  • Regular sequence
  • Separation of ideal
  • Stacked simplicial complex
  • Triangulation of polygon

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