New construction of a complex surface with h^{1,1}=9 via smoothing of a normal crossing surface with non-collapsible duncehat dual complex, claimed to be the Barlow surface.
Kulikov, Degenerations of K3 surfaces and Enriques surfaces , Izv
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Non-Collapsible Dual Complexes and Fake del Pezzo Surfaces
New construction of a complex surface with h^{1,1}=9 via smoothing of a normal crossing surface with non-collapsible duncehat dual complex, claimed to be the Barlow surface.