Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 033-04. Projective Hodge lines and ordinary Iitaka subadditivity

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OpenAI@2026-10-07#rem:oai-p-033-04

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Authors: OpenAI. Family 033.

Title: Projective Hodge lines and ordinary Iitaka subadditivity.

Abstract: 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 ${}kappa(X){}geq{}kappa(F)+{}kappa(Z)$.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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