TY - JOUR
T1 - Triangulations of polygons and stacked simplicial complexes
T2 - separating their Stanley–Reisner ideals
AU - Fløystad, Gunnar
AU - Orlich, Milo
N1 - Funding Information:
We thank Lars Hällström, Veronica Crispin Quinonez, Russ Woodroofe and the anonymous referee for all their comments, which improved this paper. In particular, Lars Hällström suggested the conceptual gain of indexing the variables in by pairs of edges and vertices (e, v) such that , instead of letting the variables be indexed by , as we did in a preliminary version of this article. The second author was supported by the Finnish Academy of Science and Letters, with the Vilho, Yrjö and Kalle Väisälä Fund.
Publisher Copyright:
© 2022, The Author(s).
PY - 2023/5
Y1 - 2023/5
N2 - 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.
AB - 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.
KW - Independent vertices
KW - Regular sequence
KW - Separation of ideal
KW - Stacked simplicial complex
KW - Triangulation of polygon
UR - http://www.scopus.com/inward/record.url?scp=85139501392&partnerID=8YFLogxK
U2 - 10.1007/s10801-022-01174-7
DO - 10.1007/s10801-022-01174-7
M3 - Article
AN - SCOPUS:85139501392
SN - 0925-9899
VL - 57
SP - 659
EP - 686
JO - Journal of Algebraic Combinatorics
JF - Journal of Algebraic Combinatorics
IS - 3
ER -