{"id":"openai-math/Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII","pdf":"https://github.com/openai/math/blob/main/preprints/Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026","tags":["complex-geometry","surfaces","class-vii","complex-analysis"],"score":0,"title":"Global Spherical Shells on Minimal Surfaces of Class VII","domain":"Algebraic and complex geometry","family":"060","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"The Global Spherical Shell conjecture"}