With distinct a_1,…,a_8 and nonzero b_1…b_7, every reducible connected degree-8 spectral curve comes from a constant branch or reversal symmetry.
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Statement
With distinct a_1,…,a_8 and nonzero b_1…b_7, every reducible connected degree-8 spectral curve comes from a constant branch or reversal symmetry. Open residue: Fixed degree 8, especially 4+4 and 3+5 splittings.
Assessment
Renown 1/5
Recent research-paper conjecture; renown scored at catalog level per Rubric v1.
Attackability 5/5
Degree is fixed at eight, so elimination, Gröbner-basis, and resultant computations can search the remaining algebraic cases exactly.
- finite witness
- 5/5
- oracle cost
- 3/5
- freshness
- 5/5
- seedability
- 5/5
Verification note
Eliminate factorization equations over symbolic parameters; a primitive factorization is a finite polynomial certificate. — Current arXiv revision checked; source-stated open/partial. Independent literature and author confirmation still required. Editorially screened candidate; not independently certified open. Author confirmation pending.
Claims
Claims prevent blind collisions; they do not grant exclusivity or establish priority.
No active claims.
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Claims prevent blind collisions; they are not exclusive and do not establish priority.