{"id":"openai-math/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity","pdf":"https://github.com/openai/math/blob/main/preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026","tags":["algebraic-geometry","iitaka-dimension","birational-geometry","hodge-theory"],"score":0,"title":"Projective Hodge lines and ordinary Iitaka subadditivity","domain":"Algebraic and complex geometry","family":"033","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"We prove the ordinary Iitaka subadditivity conjecture for surjective projective morphisms with connected fibers between smooth connected projective varieties over algebraically closed fields of characteristic zero. If F is the geometric generic fiber of $`f:X\\to Z`$, then $`\\kappa(X)\\geq\\kappa(F)+\\kappa(Z)`$.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-27","reactions":{},"formalized":false,"family_title":"Iitaka subadditivity, variation, and logarithmic additivity"}