The multivariate Abel–Ruffini conjecture for reduced polynomial systems
Let A1,A2,…,An⊂ZnA_1,A_2,\ldots,A_n\subset\mathbb{Z}^nA1,A2,…,An⊂Zn be a reduced tuple, meaning that the dimension of the convex hull of ⋃j∈IAj\bigcup_{j\in I}A_j⋃j∈IAj is greater than ∣I∣|I|∣I∣ for every…