Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII
What the paper claims, in its own words
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.
The plain-language explainer for this entry is still coming.
The original paper
- Every complex K3 surface is Oka (PDF, opens in a new tab) September 23, 2026