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On a Zeuthen-type problem (1903.11135v1)
Published 26 Mar 2019 in math.AG
Abstract: We show that every degree $d$ meromorphic function on a smooth connected projective curve $C\subset \mathbb P2$ of degree $d>4$ is isomorphic to a linear projection from a point $p\in \mathbb {P}2 \setminus C$ to $\mathbb P1$. We then pose a Zeuthen-type problem for calculating the plane Hurwitz numbers.
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