{"id":"openai-math/Minimal-metrics-and-interior-injectivity-for-nef-adjoints","pdf":"https://github.com/openai/math/blob/main/preprints/Minimal-metrics-and-interior-injectivity-for-nef-adjoints-September-27-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Minimal-metrics-and-interior-injectivity-for-nef-adjoints-September-27-2026","tags":["complex-geometry","adjoint-divisors","vanishing-theorems"],"score":0,"title":"Minimal metrics and interior injectivity for nef adjoints","domain":"Algebraic and complex geometry","family":"034","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"Let $`(H,\\Theta)`$ be a projective complex klt pair with effective rational boundary and nef ℚ-Cartier adjoint. On any projective log resolution, minimal semipositive metrics on the pulled-back adjoint exist and have zero Lelong numbers everywhere. On smooth projective complex varieties, we also prove an H 1 -injectivity theorem for rational interior boundaries with simple-normal-crossing support when both endpoint bundles carry zero-Lelong semipositive metrics.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-27","reactions":{},"formalized":false,"family_title":"Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity"}