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

preprint2022arXivOpen access

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.

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