Triangulations of polygons and stacked simplicial complexes: separating their Stanley-Reisner ideals
Commutative Algebra
2022-08-30 v3
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.
Keywords
Cite
@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}
}
Comments
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