3 citations · 8 across the 17 of their papers we have counts for
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Weierstrass semigroup and Automorphism group of the curves
Herivelto Borges, Alonso Sepúlveda, Guilherme Tizziotti
In this paper, we determine the Weierstrass semigroup and the full automorphism group of a certain family of curves , which was recently introduc…
Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree
Nazar Arakelian, Herivelto Borges
For each integer , we present a family of curves that are -Frobenius nonclassical with respect to the linear system of plane curves of degree s. In the case…
Minimal value set polynomials and a generalization of the Hermitian curve
Herivelto Borges, Ricardo Conceicão
We use a recent characterization of minimal value set polynomials and - Frobenius nonclassical curves to construct curves that generalize the Hermitian curve. The genus and…
Complete arcs arising from a generalization of the Hermitian curve
Herivelto Borges, Beatriz Motta, Fernando Torres
We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve…