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
Recommended Citation
BESANA, A, & RAMIREZ, C. M (2018). Combinatorial enumeration of cyclic covers of $\mathbb{P}^{1}$. Turkish Journal of Mathematics 42 (4): 2018-2034. https://doi.org/10.3906/mat-1610-84
