Value-variety decomposition conjecture for multisymmetric isotypic Hilbert series
Let K[X1,…,Xk]K[X^1,\dots,X^k]K[X1,…,Xk] be the polynomial ring in kkk sets of countably many variables, with Sym(∞)\operatorname{Sym}(\infty)Sym(∞) permuting the indices. Let I⊂K[X1,…,Xk]I\subset K[X^1,\dots,X^k]I⊂K[X1,…,Xk] be a…