On a Zeuthen-type problem

2019/03/26 by Ongaro, Jared
#14H30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.11135

Abstract

We show that every degree d meromorphic function on a smooth connected projective curve C⊂ \mathbb P² of degree d>4 is isomorphic to a linear projection from a point p∈ \mathbb P² ∖ C to \mathbb P¹. We then pose a Zeuthen-type problem for calculating the plane Hurwitz numbers.

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