Computing Galois groups of Ehrhart polynomials in OSCAR

2022/03/19 by Claus Fieker, Fieker, Claus, Tommy Hofmann +3
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2203.10287

openalex publication_date 2022/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on an implementation of Galois groups in the new computer algebra system OSCAR. As an application we compute Galois groups of Ehrhart polynomials of lattice polytope

Related

• Group theory in OSCAR
• Computing the Ehrhart quasi-polynomial of a rational simplex
• Computing the Galois group of a polynomial over a p-adic field
• Number Theory in OSCAR
• Ehrhart polynomials of lattice-face polytopes