Corrected high-genus banana torsion dichotomy #
This is the one remaining non-Section-6 input to the corrected Corollary 6.4. The paper's exceptional family is corrected here: one of the two marked midpoint strands need only have length two; the other may have any even length.
The completed corrected Theorem 3.9 gives the first reduction for Proposition 4.19: all-divisor submodularity forces one of its explicit endpoint-aware exceptional families.
Corrected Proposition 4.19 (prop-bananTorsion).
Outside the corrected midpoint family, every exact torsion order compatible
with all-divisor submodularity is at least the genus. The proof combines the
completed Theorem 3.9 classification with the endpoint and near-opposite
slope bounds and the reduced-divisor midpoint lemma lem-midpointTorsion.
The statement is deliberately separate from the Section 6 assembly so that
no later theorem can silently use an unrecorded
classification assumption.