Multivariate Abel-Ruffini
Algebraic Geometry
2018-02-02 v3 Number Theory
Abstract
We classify general square systems of polynomial equations solvable in radicals. Expectedly, they are almost in a 1-to-1 correspondence with tuples of lattice polytopes of mixed volume not exceeding 4. The proof is based on the computation of the monodromy group for a general system of equations, which may be of independent interest.
Cite
@article{arxiv.1405.1252,
title = {Multivariate Abel-Ruffini},
author = {Alexander Esterov and Gleb Gusev},
journal= {arXiv preprint arXiv:1405.1252},
year = {2018}
}
Comments
18 pages, the final version