Geometry and topology · Oct 6, 2026

Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII

Proves that every complex K3 surface is Oka, including nonprojective surfaces. More generally, every connected minimal compact complex surface of Kodaira dimension zero is Oka; a connected minimal compact complex surface of class VII is Oka exactly when it is a Hopf or Enoki surface.

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