{"id":"openai-math/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds","pdf":"https://github.com/openai/math/blob/main/preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-6-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-6-2026","tags":["algebraic-geometry","minimal-model-program","kahler-geometry"],"score":0,"title":"Finite ordinary minimal model programs on compact Kähler fourfolds","domain":"Algebraic and complex geometry","family":"056","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"We prove that every maximal ordinary negative-ray program starting from a compact Kähler klt fourfold pair with effective rational boundary in the global Weil-divisor ℚ-factorial category terminates. It ends at a nef model when the adjoint is pseudo-effective and at a projective Mori fibre space otherwise.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-06","reactions":{},"formalized":false,"family_title":"Termination of projective and Kähler fourfold minimal model programs"}