← Phase 2 / 13 · Candidate Non-Semistable Strong-BSD Family Schema
The wrap-up document for the v0.2 series, self-positioned right at the beginning: "Research candidate; not yet claiming a formal new theorem." It formally consolidates the routing table from document 12 into six verifiable conditions B0-B5: B0 is the 2-part anchor (Banwait–Huang Theorem 2.14 branch, $\operatorname{BSD}(E,2)$, twist local/splitting conditions, suggesting $c_E=1$); B1 is the ordinary ramification reservoir ($W_{\rm mult}^{\rm odd}(E)$ is non-empty and the gcd of its valuations is a power of 2); B2 is the FW nonsplit reservoir (echoing document 09, $W_-(E)$ is non-empty and $g_-(E)$ is a power of 2); B3 is fixed additive odd primes (individually verifying exact FW-H1, FW-H2, period/Manin, with H3 provided by B2); B4 is fixed multiplicative odd primes (individual finite checks corresponding to multiplicative theorem hypotheses and an independent ramified witness); B5 is twist support primes (avoiding 3, good ordinary, avoiding finite residual-reducibility/image exceptions, and preserving the splitting/inertness conditions required by Theorem 2.14). At the end, the document honestly lists six uncompleted proof obligations: the exact H1 backend for fixed additive primes, the exact H2 local residual backend, the formal theorem table for the fixed multiplicative branch, Manin-period compatibility, the simultaneous Chebotarev/CRT compatibility of all support restrictions, and the final all-prime cover proof — and explicitly states: until all six are completed, it will not be upgraded to a theorem.
Relationship with other documents, try to use the words from its own document, not my interpretation.
"Until all six are completed, it will not be upgraded to a theorem." — Excerpt from the end of this document.
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