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Turkish Journal of Mathematics

DOI

10.3906/mat-1610-84

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.

First Page

2018

Last Page

2034

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Mathematics Commons

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