Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifolds

Abstract

We construct quasi-projective moduli spaces of $K$-general lattice polarized irreducible holomorphic symplectic manifolds. Moreover, we study their Baily--Borel compactification and investigate a relation between one-dimensional boundary components and equivalence classes of rational Lagrangian fibrations defined on mirror manifolds.

arXiv comment19 pages, comments are welcome