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Turkish Journal of Mathematics

Abstract

We study plane algebraic curves defined over a field $k$ of arbitrary characteristic that are ramified coverings of the projective line $\mathbb{P}^{1}(k)$ branched over a given configuration of distinct points by their ramification type specified by a partition of $d$ the degree of the covering. We enumerate them by using the combinatorics of partitions and its connection to the representation theory of the symmetric group.

DOI

10.3906/mat-1610-84

Keywords

Algebraic curve, covering, symmetric group

First Page

2018

Last Page

2034

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