Family 060Algebraic and complex geometryNo LeanNot yet digested
The Global Spherical Shell conjecture
Every connected minimal compact complex surface of class VII with contains a global spherical shell, proving the positive-b Global Spherical Shell conjecture. Such a shell is a holomorphically embedded neighborhood of the standard three-sphere in whose complement is connected.
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Global Spherical Shells on Minimal Surfaces of Class VII
Sep 24, 2026·paper.pdf
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 whose complement is connected.