Global Spherical Shells on Minimal Surfaces of Class VII
We prove the Global Spherical Shell conjecture: every connected minimal compact complex surface of class VII with positive second Betti number contains a global spherical shell. This is a holomorphically embedded neighborhood of the standard three-sphere in \(\mathbb C^2\setminus\{0\}\) whose complement is connected.
Cite
@misc{OAI:Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026,
author = {{OpenAI}},
title = {{Global Spherical Shells on Minimal Surfaces of Class VII}},
howpublished = {OpenAI Math Release preprint
\href{https://github.com/openai/math/blob/main/preprints/Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026/paper.pdf}{OAI:Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026}},
year = {2026}
}