On a Zeuthen-type problem

Jared Ongaro

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arXiv · 1903.11135

On a Zeuthen-type problem

Jared Ongaro

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Abstract

We show that every degree $d$ meromorphic function on a smooth connected projective curve $C\subset \mathbb P^2$ of degree $d>4$ is isomorphic to a linear projection from a point $p\in \mathbb {P}^2 \setminus C$ to $\mathbb P^1$. We then pose a Zeuthen-type problem for calculating the plane Hurwitz numbers.

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Jared Ongaro. 2019-03-26. On a Zeuthen-type problem. https://arxiv.org/abs/1903.11135

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