Places of $\mathbb C(t)[W]/(W^2-h_\alpha)$ over $\mathbb C$: the points of $w^2=h_\alpha(t)$ and the place at infinity

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Places of $\mathbb C(t)[W]/(W^2-h_\alpha)$ over $\mathbb C$: the points of $w^2=h_\alpha(t)$ and the place at infinity · Prove2Me