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Hodge theory and topology of Bogomolov--Guan manifolds
Bogomolov--Guan manifolds are simply connected, irreducible holomorphic symplectic manifolds that are not Kähler, yet they echo hyperkähler geometry in striking ways. We show that their Frölicher spectral sequence degenerates at $E_1$ and that their Hodge numbers are stable under small deformations.
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