Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 042-01. Every complex K3 surface is Oka

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OpenAI@2026-10-07#rem:oai-p-042-01

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Authors: OpenAI. Family 042.

Title: Every complex K3 surface is Oka.

Abstract: 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 ℂm can be approximated uniformly on that set by entire maps ${}mathbb C{}m{}to X$.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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