The integral Picard groups of low-degree Hurwitz spaces

Integral Picard group of moduli of polarized K3 surfaces

“…In particular, knowing the Picard group of a Deligne-Mumford stack with finite inertia also gives a description of the rational Picard group of the coarse moduli space. Integral Picard group of other interesting moduli stacks has also been computed in recent years [3,7] and [11].…”