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math.AC2020
On Artinian Gorenstein algebras associated to the face posets of regular polyhedra
Akiko Yazawa
We introduce Artinian Gorenstein algebras defined by the face posets of regular polyhedra. We consider the strong Lefschetz property and Hodge--Riemann relation for the algebras. W…
math.AC2019★ 8 cited
Strict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property
Takahiro Nagaoka, Akiko Yazawa
Anari, Gharan, and Vinzant proved (complete) log-concavity of the basis generating functions for all matroids. From the viewpoint of combinatorial Hodge theory, it is natural to as…