Multivariate Abel-Ruffini
classification
🧮 math.AG
math.NT
keywords
equationsgeneralabel-ruffinialmostclassifycomputationcorrespondenceexceeding
read the original 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.
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