{"id":"openai-math/Fourfold-nonvanishing-by-minimal-metrics-and-moving-jets","pdf":"https://github.com/openai/math/blob/main/preprints/Fourfold-nonvanishing-by-minimal-metrics-and-moving-jets-September-27-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Fourfold-nonvanishing-by-minimal-metrics-and-moving-jets-September-27-2026","tags":["algebraic-geometry","birational-geometry","vanishing-theorems"],"score":0,"title":"Fourfold nonvanishing by minimal metrics and moving jets","domain":"Algebraic and complex geometry","family":"034","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"We prove canonical nonvanishing for smooth connected projective complex fourfolds: if K X is pseudo-effective, then $`H^0(X,mK_X)\\ne0`$ for some positive integer m .","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"}