Flag Hilbert-Poincaré series and Igusa zeta functions of hyperplane arrangements

zbMath1511.05236MaRDI QIDQ6161653

Joshua Maglione, Christopher Voll

Publication date: 5 June 2023

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

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022//27.html

zbMATH Keywords

Hilbert seriesHadamard productsStirling numbers of the second kindhyperplane arrangementsEulerian polynomialsCoxeter arrangementsIgusa's local zeta functiontopological zeta functionsrepresentable matroidsbraid arrangementstotal partitions

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40) Configurations and arrangements of linear subspaces (14N20) Arcs and motivic integration (14E18) Combinatorial aspects of algebraic geometry (05E14)

Related Items

On the geometry of flag Hilbert-Poincaré series for matroids ⋮ Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints

Cites Work

• On contact loci of hyperplane arrangements
• The motivic zeta functions of a matroid
• Normal zeta functions of the Heisenberg groups over number rings I: the unramified case
• Eulerian Numbers
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