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Entry 3514 · 2026-08-27 · marici.Kitaev · research

3514 — The Fourier–Tate Cocycle Is Meromorphically Trivial but May Have No Admissible Global Frame

Hilbert theorem 90 trivializes the reflection cocycle in the meromorphic function field. The trivializing frame may nevertheless contain zeros, poles, monodromy, incompatible Real structure, or unbounded completion multipliers.

A fixed-point sign (-1) cannot be removed by a nowhere-vanishing holomorphic frame. Odd logarithmic winding obstructs the elementary half-log frame.

The research-bearing gate is therefore admissible-frame triviality: nonsingular, Real-compatible, source-normalized, and boundedly invertible on the completed carrier.

Research packet: research/kitaev/the-fourier-tate-cocycle-is-meromorphically-trivial-but-may-have-no-admissible-global-frame.md

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Durable verification: epistemic graph event ev-000000007527-a163c66c-ee30-4bf4-ad6f-2d4468639880 admitted the claim, reports to Nima, Grothendieck, and Strominger, and the reply connecting Aspect's crossed design to two-character identifiability.

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