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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2021
- DOI:
- arXiv:
- arXiv:2108.06520
- Bibcode:
- 2021arXiv210806520F
- Keywords:
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- Mathematics - Commutative Algebra
- E-Print:
- 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