Two-cut coherence of a polynomial equals the minimal shared interface width for two degree cuts, and for quintics it is characterized up to constants by the slice rank of second derivatives.
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Two-Cut Coherence of Quintic Forms: Lifting Separations and Second-Derivative Completeness
Two-cut coherence of a polynomial equals the minimal shared interface width for two degree cuts, and for quintics it is characterized up to constants by the slice rank of second derivatives.