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

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.

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