Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifolds
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manifoldsholomorphiclatticemodulipolarizedspacessymplecticbaily--borel
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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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