{"id":"openai-math/Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds","pdf":"https://github.com/openai/math/blob/main/preprints/Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-6-2026/numerical-generalized-abundance.pdf","url":"https://github.com/openai/math/tree/main/preprints/Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-6-2026","tags":["complex-geometry","kahler-manifolds","algebraic-geometry"],"score":0,"title":"Numerical semiampleness of nef adjoint classes on compact Kähler manifolds","domain":"Algebraic and complex geometry","family":"036","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"Let X be a smooth connected compact Kähler manifold, let B be an effective rational simple normal crossing divisor with coefficients less than one, and let M be a nef rational holomorphic line bundle on X . If $`K_X+B`$ is pseudo-effective and $`K_X+B+M`$ is nef, we prove that its first Chern class in real Bott–Chern cohomology is represented by a semiample rational line bundle. This numerical statement allows a flat change of line bundle; it does not assert semiampleness of the original adjoint.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-06","reactions":{},"formalized":false,"family_title":"Numerical semiampleness and generalized minimal models"}