Paper XI: Packets, Arithmetic Realization, and Conditional Comparison
Which finite pieces of arithmetic representation data can be reconstructed, and what comparison inputs are still needed?
The paper resolves finite monodromy, Frobenius, and character packets and develops restricted comparison constructions. It separates those finite results from the general arithmetic realization problem.
Assumptions and limits. Each comparison retains its stated tame, wild, and coefficient hypotheses. General arithmetic realization is Conjecture 66, and the full comparison of pair local factors remains conditional.
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Before you start
Suggested background: Vectors, matrices, linear maps, kernels and images, and reading a statement with hypotheses. Consult the selected paper for any additional algebra or analysis it uses.
Recorded results and limits: Finite packet and selected terminal developments have accepted formal evidence. Conjecture 66 and its arithmetic realization obligations remain open.
Remaining work: Track each Conjecture 66 obligation separately from the accepted finite packet and transported constructions.
The background advice is an editorial starting point. The work itself states its prerequisites and hypotheses.
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