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Preprint in the OpenAI Math release

The strong hyperkähler SYZ conjecture

OpenAI

Abstract

We prove the strong hyperkähler SYZ conjecture: every holomorphic line bundle with nonzero nef isotropic first Chern class on a compact irreducible holomorphic symplectic Kähler manifold is semiample.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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