On the irrationality of moduli spaces of projective hyperkähler manifolds

Daniele Agostini, Ignacio Barros, Kuan-Wen Lai

The aim of this paper is to estimate the irrationality of moduli spaces of hyperkähler manifolds of types K3${}^{[n]}$, Kum${}_n$, OG6, and OG10. We prove that the degrees of irratio…