Polymake.jl: A New Interface to polymake

DOI10.1007/978-3-030-52200-1_37zbMath1504.14003arXiv2003.11381OpenAlexW3043764587WikidataQ108123998 ScholiaQ108123998MaRDI QIDQ5041077

Benjamin Lorenz, Marek Kaluba, Sascha Timme

Publication date: 13 October 2022

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11381

zbMATH Keywords

Juliapolymake

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Real algebraic sets (14P05) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Related Items

Bayesian Integrals on Toric Varieties ⋮ Generalised cone complexes and tropical moduli in polymake ⋮ The Grassmannian of 3-planes in \(\mathbb{C}^8\) is schön ⋮ Computing characteristic polynomials of hyperplane arrangements with symmetries ⋮ Initial degenerations of spinor varieties ⋮ Polyhedral homotopies in Cox coordinates ⋮ Likelihood equations and scattering amplitudes ⋮ Frontiers of sphere recognition in practice

Uses Software

• polymake
• alphaCertified
• Julia
• HomotopyContinuation

Cites Work

• Unnamed Item
• Projectivities in simplicial complexes and colorings of simple polytopes
• HomotopyContinuation.jl: a package for homotopy continuation in Julia
• Lower bounds for real solutions to sparse polynomial systems
• Julia: A Fresh Approach to Numerical Computing
• Algorithm 921
• A Polyhedral Method for Solving Sparse Polynomial Systems