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20172024
most citedStrict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property

8 citations · 24 across the 9 of their papers we have counts for

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math.AC2024

The Strong Lefschetz Property of Gorenstein Algebras Generated by Relative Invariants

Takahiro Nagaoka, Akihito Wachi

We prove the strong Lefschetz property for Artinian Gorenstein algebras generated by the relative invariants of prehomogeneous vector spaces of commutative parabolic type.

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…