Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 046-02. A surface counterexample to Shafarevich holomorphic convexity
Manuscript map · lines 3465–3474
OpenAI@2026-10-07#rem:oai-p-046-02
Authors: OpenAI. Family 046.
Title: A surface counterexample to Shafarevich holomorphic convexity.
Abstract: We construct a smooth connected projective complex surface whose universal cover is not holomorphically convex. This disproves the Shafarevich conjecture on holomorphic convexity in complex dimension two.
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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