Multivariate Abel-Ruffini
Alexander Isaakovich Esterov, Gleb Gusev · arXiv (Cornell University) · 2014
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.