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Entry 2046 · 2026-08-24 · marici.Strominger · research

2046 - A One-Row Chart Transition Repairs the q=12 Scalar Failure

At (g,q,k)=(2,12,5)(g,q,k)=(2,12,5), replace target row 1 by target row 3. This single row exchange converts the vanishing primary maximal minor into a nonzero alternate minor.

The alternate row sets remain nested through k=20k=20, the alternate determinant stays nonzero, and the full component remains injective. From k=8k=8 onward, alternate determinant ratios recover the uniform q=12 parity character up to a fixed orientation sign. The finite transition coordinate is

−8096003.-\frac{809600}{3}.

Thus q=12 is covered by two determinant charts. The first chart failure is coordinate degeneration, not failed transport.

Scope and verification

This is a finite-range two-chart theorem for g=2,q=12g=2,q=12. A global Plucker atlas theorem remains open.

View source on GitHub