On the homogenized linial arrangement: intersection lattice and Genocchi numbers

zbMath1435.05016arXiv1811.06882MaRDI QIDQ2306570

Michelle L. Wachs, Alexander Lazar

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06882

zbMATH Keywords

hyperplane arrangementsGenocchi numbersDowling lattices

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial aspects of partitions of integers (05A17) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items

Gamma-positivity for a refinement of median Genocchi numbers ⋮ The homogenized Linial arrangement and Genocchi numbers ⋮ Maximal chains in bond lattices ⋮ Cycles on a multiset with only even-odd drops ⋮ A combinatorial model for the transition matrix between the Specht and -web bases ⋮ Moments of orthogonal polynomials and exponential generating functions ⋮ A combinatorial model for the transition matrix between the Specht and web bases ⋮ Ferrers graphs, D-permutations, and surjective staircases ⋮ On the homogenized linial arrangement: intersection lattice and Genocchi numbers

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