Remark: Family 309. The Kervaire invariant problem at the prime three

Resolves the odd-primary Kervaire invariant problem at the prime three: exactly the standard classes with indices $0$, $2$, and $3$ survive in the mod-three Adams spectral sequence, in stems $10$, $106$, and $322$. Each surviving detection coset contains an element of exact additive order three.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.