Barbara Gatti

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20232026

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math.AG2024

On a Galois cover of the Hermitian curve of genus $g = \frac{1}{8} (q - 1)^{2}$

Barbara Gatti, Gioia Schulte

In the study of algebraic curves with many points over a finite field, a well known general problem is to understanding better the properties of $F_{q^{2}}$ -maximal curves w…

math.AG2024

Galois subcovers of the Hermitian curve in characteristic $p$ with respect to subgroups of order $d p$ with $d \neq = p$ prime

Arianna Dionigi, Barbara Gatti

A problem of current interest, also motivated by applications to Coding theory, is to find explicit equations for \textit{maximal} curves, that are projective, geometrically irredu…

On a Galois cover of the Hermitian curve of genus g=81​(q−1)2

Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order dp with d=p prime

On a Galois cover of the Hermitian curve of genus $g = \frac{1}{8} (q - 1)^{2}$

Galois subcovers of the Hermitian curve in characteristic $p$ with respect to subgroups of order $d p$ with $d \neq = p$ prime