A holomorphic $f\,dt$ on $w^2=-t(t^m+1)(\alpha t^m+\bar\alpha)$ has $f=a(t)/w$ with $\deg a<m$

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A holomorphic $f\,dt$ on $w^2=-t(t^m+1)(\alpha t^m+\bar\alpha)$ has $f=a(t)/w$ with $\deg a<m$ · Prove2Me