← RCHM × Hodge Research Round / R21 · Ancestry normalization of Küchle c5

RCHM × Hodge Research Round R21 · Ancestry normalization of Küchle c5

Küchle c5 Ancestry Normalization: Primitive Integral Inheritance and the Re-Emergence of a K3^[2] Bridge Profile

Using Kuznetsov's Lefschetz-type integral motive of the c5 fivefold, the inherited sector is a primitive rank-4 Tate lattice, so the ancestry-normalized block has rank 22, Hodge type (1,20,1) and real signature (2,20) after a sign change — the profile of a polarized K3^[2]-type fourfold (OG10 now fails at the rank gate); the integral discriminant gate stays open.

This is a viable bridge profile, not yet a bridge theorem. The paper says 'not yet a bridge theorem' and corrects R20's rank-24 block.

Connections · Connections

Loading…