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On generalized Weierstrass Semigroups in arbitrary Kummer extensions of
Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti
In this work, we investigate generalized Weierstrass semigroups in arbitrary Kummer extensions of function field . We analyze their structure and properties, with…
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 Weierstrass gaps at several points
Wanderson Tenório, Guilherme Tizziotti
We consider the problem of determining Weierstrass gaps and pure Weierstrass gaps at several points. Using the notion of relative maximality in generalized Weierstrass semigroups d…
Subcovers and codes on the curves
Herivelto Borges, Alonso S. Castellanos, Guilherme Tizziotti
In this work, subcovers of the curve are constructed, the Weierstrass semigroup at the point $P_\infty \in \mathcal{X}_{n,r}…
Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables
Wanderson Tenório, Guilherme Tizziotti
In this work we study the generalized Weierstrass semigroup at an -tuple of rational points on certain curv…
Weierstrass Semigroup and Pure Gaps at several points on the curve
Alonso S. Castellanos, Guilherme Tizziotti
We determine the Weierstrass semigroup at several points on the curve. In addition, we present conditions to find pure gaps on the set o…