Derangements, Ehrhart theory, and local \(h\)-polynomials

DOI10.1016/j.aim.2020.107169zbMath1440.05025arXiv1807.05246OpenAlexW3017446838MaRDI QIDQ2182261

Nils Gustafsson, Liam Solus

Publication date: 23 May 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05246

zbMATH Keywords

simplicial complexunimodalderangementEhrhart theorylocal \(h\)-polynomialreal-rootedlecture Hall simplex

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of simplicial complexes (05E45) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (6)

SYMMETRIC DECOMPOSITIONS, TRIANGULATIONS AND REAL‐ROOTEDNESS ⋮ Some algebraic properties of lecture hall polytopes ⋮ Excedance-type polynomials, gamma-positivity and alternatingly increasing property ⋮ Real-rootedness of variations of Eulerian polynomials ⋮ Gamma-positivity of derangement polynomials and binomial Eulerian polynomials for colored permutations ⋮ Binomial Eulerian polynomials for colored permutations

Cites Work

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