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math.CO2020
Congruence Normality of Simplicial Hyperplane Arrangements via Oriented Matroids
Michael Cuntz, Sophia Elia, Jean-Philippe Labbé
A catalogue of simplicial hyperplane arrangements was first given by Grünbaum in 1971. These arrangements naturally generalize finite Coxeter arrangements and the weak order throug…
math.CO2020★ 3 cited
Multivariate volume, Ehrhart, and -polynomials of polytropes
Marie-Charlotte Brandenburg, Sophia Elia, Leon Zhang
The univariate Ehrhart and -polynomials of lattice polytopes have been widely studied. We describe methods from toric geometry for computing multivariate versions of volume, E…