{"id":"openai-math/Every-complex-K3-surface-is-Oka","pdf":"https://github.com/openai/math/blob/main/preprints/Every-complex-K3-surface-is-Oka-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Every-complex-K3-surface-is-Oka-September-23-2026","tags":["complex-geometry","oka-theory","k3-surfaces"],"score":0,"title":"Every complex K3 surface is Oka","domain":"Algebraic and complex geometry","family":"042","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"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 m can be approximated uniformly on that set by entire maps $`\\mathbb C^m\\to X`$.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII"}