6 citations · 10 across the 19 of their papers we have counts for
4 papers · 1 filter
The Set of Pure Gaps at Several Rational Places in Function Fields
Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti
In this work, using maximal elements in generalized Weierstrass semigroups and its relationship with pure gaps, we extend the results in \cite{CMT2024} and provide a way to complet…
On atoms of the set of generalized numerical semigroups with fixed corner element
Matheus Bernardini, Alonso S. Castellanos, Wanderson Tenório +1
We study the so-called atomic GNS, which naturally extends the concept of atomic numerical semigroup. We introduce the notion of corner special gap and we characterize the class of…
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…