Semitoric compactification conjecture for weak K-moduli Artin stacks

A weak K-moduli space is an Artin stack when continuous isotropy is allowed. Consider such a stack parametrizing polarized irreducible holomorphic symplectic varieties, polarized abelian varieties, or polarized Enriques manifolds. If its coarse moduli space exists, let its normalization be the normalization of that coarse moduli space. Semitoric compactification conjecture. The normalization of the coarse moduli space is always a semitoric compactification. This extends the study of weak K-moduli from Deligne–Mumford stacks, where only finite isotropy groups occur, to Artin stacks with continuous isotropy. The source does not provide evidence that the assertion has been proved or disproved.