4 papers
Complete set of Pure Gaps in Function Fields
Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti
In this work, we provide a way to completely determine the set of pure gaps at two rational places in a function field over a finite field $\mathbb{F…
On the automorphism group of a family of maximal curves not covered by the Hermitian curve
Maria Montanucci, Guilherme Tizziotti, Giovanni Zini
In this paper we compute the automorphism group of the curves and introduced in Tafazolian et al. in 2016 as new examples of maximal cur…
On k-sparse numerical semigroups
G. Tizziotti, J. Villanueva
Given a positive integer k, we investigate the class of numerical semigroups verifying the property that every two subsequent non gaps, smaller than the conductor, are spaced by at…
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…