Hock's x-y swap conjecture for rational spectral curves
Let Σ=CP1\Sigma=\mathbb{C}\mathrm{P}^1Σ=CP1. In Case 1, let y(z)=zy(z)=zy(z)=z be a global affine coordinate and let x=logR(z)+Azx=\log R(z)+Azx=logR(z)+Az, where R(z)R(z)R(z) is a rational function and A∈CA\in\mathbb{C}A∈C. In Ca…