Strict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property

DOI10.1016/j.jalgebra.2021.01.037zbMath1460.05091arXiv1904.01800OpenAlexW3136800331MaRDI QIDQ2662207

Takahiro Nagaoka, Akiko Yazawa

Publication date: 9 April 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01800

zbMATH Keywords

prehomogeneous vector spacesGorenstein algebrasstrong Lefschetz propertyKirchhoff polynomialsstrict log-concavity

Mathematics Subject Classification ID

Graph polynomials (05C31) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Combinatorial aspects of matroids and geometric lattices (05B35) Prehomogeneous vector spaces (11S90) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

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