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.
Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifolds
C. Camere
2018-01-01
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.
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