{"id":"openai-math/The-Strong-Hyperkahler-SYZ-Conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/The-Strong-Hyperkahler-SYZ-Conjecture-September-23-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Strong-Hyperkahler-SYZ-Conjecture-September-23-2026","tags":["complex-geometry","hyperkahler-geometry","algebraic-geometry"],"score":0,"title":"The strong hyperkähler SYZ conjecture","domain":"Algebraic and complex geometry","family":"041","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Hyperkähler SYZ and projective-space bases"}