Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifolds

DOI10.1142/S0219199717500444zbMath1420.14081arXiv1512.02115OpenAlexW2963132299MaRDI QIDQ4563684

Chiara Camere

Publication date: 4 June 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02115

zbMATH Keywords

mirror symmetryLagrangian fibrationlattice polarized hyperkähler manifoldlattice polarized irreducible holomorphic symplectic manifoldBaily-Borel compactification\(K\)-general polarization

Mathematics Subject Classification ID

(4)-folds (14J35) Complex-analytic moduli problems (32G13) Fibrations, degenerations in algebraic geometry (14D06) Moduli, classification: analytic theory; relations with modular forms (14J15) (n)-folds ((n>4)) (14J40) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (4)

Complex ball quotients from manifolds of \(K3^{[n}\)-type] ⋮ Cubic threefolds and hyperkähler manifolds uniformized by the 10-dimensional complex ball ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ GIT versus Baily-Borel compactification for \(K3\)'s which are double covers of \(\mathbb{P}^1 \times \mathbb{P}^1\)

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