A global Torelli theorem for singular symplectic varieties
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Publication:2659450
DOI10.4171/JEMS/1026zbMath1460.32014arXiv1612.07894OpenAlexW3108275052MaRDI QIDQ2659450
Benjamin Bakker, Christian Lehn
Publication date: 26 March 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07894
Equisingularity (topological and analytic) (32S15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Complex-analytic moduli problems (32G13) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Families, moduli, classification: algebraic theory (14J10) Deformations of singularities (14B07)
Related Items (14)
Algebraic approximation and the decomposition theorem for Kähler Calabi-Yau varieties ⋮ Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds ⋮ On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces ⋮ The global moduli theory of symplectic varieties ⋮ The second integral cohomology of moduli spaces of sheaves on K3 and abelian surfaces ⋮ Density of Noether-Lefschetz loci of polarized irreducible holomorphic symplectic varieties and applications ⋮ On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four ⋮ Global Torelli theorem for irreducible symplectic orbifolds ⋮ Teichmüller spaces and Torelli theorems for hyperkähler manifolds ⋮ Families of conic Kähler-Einstein metrics ⋮ Contraction centers in families of hyperkähler manifolds ⋮ Finiteness of polarized \(K3\) surfaces and hyperkähler manifolds ⋮ Rational curves in holomorphic symplectic varieties and Gromov-Witten invariants ⋮ Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities
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