On the Hodge structures of compact hyper-Kähler manifolds

DOI10.4310/MRL.2021.v28.n2.a10zbMath1480.53066arXiv1905.07793MaRDI QIDQ2028617

Andrey Soldatenkov

Publication date: 1 June 2021

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07793

zbMATH Keywords

cohomologyhyper-Kähler manifoldsHodge structureLefschetz propertyBeauville-Bogomolov-Fujiki form

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Hodge theory in global analysis (58A14)

Related Items (5)

The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior) ⋮ Galois representations on the cohomology of hyper-Kähler varieties ⋮ Derived equivalences of hyperkähler varieties ⋮ Derived categories of hyper-Kähler manifolds via the LLV algebra ⋮ Lagrangian fibrations

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