Preprint in the OpenAI Math release
A surface counterexample to Shafarevich holomorphic convexity
OpenAI
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.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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