On the irrationality of moduli spaces of projective hyperkähler manifolds

2023/07/14 by Daniele Agostini, Ignacio Barros, Kuan-Wen Lai
Mathematics · #math.AG

paper · pdf · doi:10.46298/epiga.2025.12999

Abstract

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 irrationality of these moduli spaces are bounded from above by a universal polynomial in the dimension and degree of the manifolds they parametrize. We also give a polynomial bound for the degrees of irrationality of moduli spaces of (1,d)-polarized abelian surfaces.

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