3 citations · 3 across the 4 of their papers we have counts for
4 papers
Techniques in equivariant Ehrhart theory
Sophia Elia, Donghyun Kim, Mariel Supina
Equivariant Ehrhart theory generalizes the study of lattice point enumeration to also account for the symmetries of a polytope under a linear group action. We present a catalogue o…
Rational Ehrhart Theory
Matthias Beck, Sophia Elia, Sophie Rehberg
The Ehrhart quasipolynomial of a rational polytope encodes fundamental arithmetic data of , namely, the number of integer lattice points in positive integr…
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…
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…