Postnikov-Stanley Linial arrangement conjecture

DOI10.1007/s10801-023-01234-6zbMath1525.52015arXiv2012.05634OpenAlexW4381053687WikidataQ123333055 ScholiaQ123333055MaRDI QIDQ6083964

Shigetaro Tamura

Publication date: 31 October 2023

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05634

zbMATH Keywords

hyperplane arrangementquasi-polynomialEulerian polynomialcharacteristic quasi-polynomialEhrhart quasi-polynomialLinial arrangement

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodicity of non-central integral arrangements modulo positive integers
• Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
• Deformations of Coxeter hyperplane arrangements
• Characteristic polynomials of linial arrangements for exceptional root systems
• Worpitzky partitions for root systems and characteristic quasi-polynomials
• Extended linial hyperplane arrangements for root systems and a conjecture of Postnikov and Stanley
• Alcoved polytopes. II
• Eulerian polynomials and polynomial congruences
• Computing the Continuous Discretely
• The number of lattice points in alcoves and the exponents of the finite Weyl groups
• The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements

This page was built for publication: Postnikov-Stanley Linial arrangement conjecture