多边形的三角剖分与堆叠单纯复形:分离其 Stanley-Reisner 理想
交换代数
2022-08-30 v3
摘要
多边形的三角剖分具有一个相伴的 Stanley-Reisner 理想。我们获得了对这些理想的完整的代数与组合理解,并描述了它们的分离模型。更一般地,我们对堆叠单纯复形(特别是堆叠多胞体)做了此事。
引用
@article{arxiv.2108.06520,
title = {Triangulations of polygons and stacked simplicial complexes: separating their Stanley-Reisner ideals},
author = {Gunnar Fløystad and Milo Orlich},
journal= {arXiv preprint arXiv:2108.06520},
year = {2022}
}
备注
27 pages, 7 figures. EDIT: new and more natural indexing of the variables in the polynomial ring, fixed very minor typos and added literature, no new results