Family 042Algebraic and complex geometryNo LeanNot yet digested
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.
Manuscripts in this family · 1
Every complex K3 surface is Oka
Sep 23, 2026·paper.pdf
We prove that every complex K3 surface X is Oka, resolving the K3 Oka conjecture. Equivalently, for every m ≥ 1, every holomorphic map to X from a neighborhood of a compact convex set in ℂ can be approximated uniformly on that set by entire maps .