3 papers
math.AG2020
Triples of rational points on the Hermitian curve and their Weierstrass semigroups
Gretchen L. Matthews, Dane Skabelund, Michael Wills
In this paper, we study configurations of three rational points on the Hermitian curve over and classify them according to their Weierstrass semigroups. For $q>3…
math.AG2017
On the order sequence of an embedding of the Ree curve
Dane Skabelund
In this paper we compute the Weierstrass order-sequence associated with a certain linear series on the Deligne-Lusztig curve of Ree type. As a result, we determine that the set of…
math.AG2016
New maximal curves as ray class fields over Deligne-Lusztig curves
Dane C. Skabelund
We construct new covers of the Suzuki and Ree curves which are maximal with respect to the Hasse-Weil bound over suitable finite fields. These covers are analogues of the Giulietti…