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

被引：2

作者：

Floystad, Gunnar ^{[1
]}

Orlich, Milo ^{[2
]}

机构：

[1] Math Inst, Postboks 7803, N-5020 Bergen, Norway

[2] Aalto Univ, Espoo, Finland

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2023年 / 57卷 / 03期

关键词：

Triangulation of polygon; Stacked simplicial complex; Separation of ideal; Regular sequence; Independent vertices; CO-LETTERPLACE IDEALS;

D O I：

10.1007/s10801-022-01174-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：659 / 686

页数：28

共 16 条

[1]

Agnarsson G., 2006, Graph Theory: Modeling, Applications, and Algorithms

[2] Polarizations of powers of graded maximal ideals [J].