Journal article
Weierstrass semigroups on the Skabelund maximal curve
In [14], D. Skabelund constructed a maximal curve over F q4 as a cyclic cover of the Suzuki curve. In this paper we explicitly determine the structure of the Weierstrass semigroup at any point P of the Skabelund curve. We show that its Weierstrass points are precisely the F q4 -rational points. Also we show that among the Weierstrass points, two types of Weierstrass semigroup occur: one for the F q-rational points, one for the remaining F q4 -rational points.
For each of these two types its Apéry set is computed as well as a set of generators.
Language: | English |
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Year: | 2021 |
Pages: | 101811 |
ISSN: | 10715797 and 10902465 |
Types: | Journal article |
DOI: | 10.1016/j.ffa.2021.101811 |
ORCIDs: | Beelen, Peter , Landi, Leonardo and Montanucci, Maria |