# Orbifold subadditivity hypothesis ledger

Family 033: Iitaka subadditivity, variation, and logarithmic additivity. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Help algebraic-geometry researchers compare Kodaira dimension bounds for fibrations with orbifold or logarithmic data.

## Applicability and commercial boundary

Fujiki-class, rational boundary and base assumptions differ between companion statements; no efficient fibration classifier follows.

## Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

## Next verification action

Extract each fibration input and identify one symbolic example with computable invariants.

## Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

[Orbifold and logarithmic Iitaka subadditivity](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/paper.pdf).