The conjecture that scaled Segre varieties realize every ML degree up to their degree

From papers

Let VcV^c be the scaled Segre variety associated with an m×nm\times n scaling matrix c(C)mnc\in(\mathbb C^*)^{mn}, and let deg(V)=(m+n2m1)\deg(V)=\binom{m+n-2}{m-1}. Scaled Segre ML-degree conjecture. For each i{1,,deg(V)}i\in\{1,\ldots,\deg(V)\}, there exists c(C)mnc\in(\mathbb C^*)^{mn} such that VcV^c has ML degree ii. The examples in the source exhibit this phenomenon for the 3×33\times3 case, while the general assertion is presented without a resolution.

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Primary source

Carlos Améndola, Nathan Bliss, Isaac Burke, Courtney R. Gibbons, Martin Helmer, Serkan Hoşten, Evan D. Nash, Jose Israel Rodriguez and Daniel Smolkin, “The Maximum Likelihood Degree of Toric Varieties”, arXiv:1703.02251 (2017).

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