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.
Keywords
Algebraic curve, covering, symmetric group
First Page
2018
Last Page
2034
Recommended Citation
BESANA, ALBERTO and RAMIREZ, CRISTINA MARTINEZ
(2018)
"Combinatorial enumeration of cyclic covers of $\mathbb{P}^{1}$,"
Turkish Journal of Mathematics: Vol. 42:
No.
4, Article 37.
https://doi.org/10.3906/mat-1610-84
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss4/37
