On the automorphism group of a family of maximal curves not covered by the Hermitian curve

2023/01/18 by Montanucci, Maria, Tizziotti, Guilherme, Zini, Giovanni · 1 citation
#11G20 #14H37 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.07423

Abstract

In this paper we compute the automorphism group of the curves X_a,b,n,s and Y_n,s introduced in Tafazolian et al. in 2016 as new examples of maximal curves which cannot be covered by the Hermitian curve. They arise as subcovers of the first generalized GK curve (GGS curve). As a result, a new characterization of the GK curve, as a member of this family, is obtained.

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