Any component of moduli of polarized hyperkähler manifolds is dense in its deformation space

DOI10.1016/j.matpur.2013.05.008zbMath1282.14068arXiv1008.2480OpenAlexW3104943446MaRDI QIDQ395261

Sasha Anan'in, Misha Verbitsky

Publication date: 29 January 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2480

zbMATH Keywords

moduli spacesHodge structuresinteger latticehyperkähler manifoldsTorelli theoremHodge classholomorphic symplectic

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Compact complex (n)-folds (32J18) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Torelli problem (14C34)

Related Items

Ergodic complex structures on hyperkähler manifolds ⋮ Density of Noether-Lefschetz loci of polarized irreducible holomorphic symplectic varieties and applications ⋮ Hilbert schemes of K3 surfaces are dense in moduli ⋮ Families of Lagrangian fibrations on hyperkähler manifolds

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