Weierstrass semigroup and Automorphism group of the curves ${\mathcal{X}}_{n,r}$

Abstract

In this paper, we determine the Weierstrass semigroup $H(P_{\infty })$ and the full automorphism group of a certain family of curves ${\mathcal{X}}_{n,r}$, which was recently introduced by Borges and Conceição.