“…We elaborate on constructions of Reid [Rei72], Desale-Ramanan [DR77], Donagi [Don80], and Bhargava-Gross-Wang [BGW17,Wan18] from a functorial/moduli perspective applicable to equivariant analysis. We also present a new connection with hyperkähler geometry (see Section 5), extending Kummer-type constructions to higher dimensions; connections between Fano and hyperkähler geometry are in the focus of many recent studies, including [FMOS21].…”