Delphi.science

Projective Hodge lines and ordinary Iitaka subadditivity

Source: github.com/openai/math/tree/main/preprints/Projective-Hodge…

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OpenAI Mathopenai-math/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivitySep 27, 2026math.AGAI-generatedscore 0

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 $\kappa(X)\geq\kappa(F)+\kappa(Z)$.

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