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. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 20:4(2018 Jun), pp. 1750044.1-1750044.29. [10.1142/S0219199717500444]
Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifolds
C. CamerePrimo
2018
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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