Arianna Dionigi

collaborators

4 papers

math.AG2026

Curves with a large automorphism group admitting a cyclic subgroup of index $2$

Arianna Dionigi, Massimo Giulietti, Marco Timpanella

The Hurwitz bound on the order of the $K$ -automorphism group $Aut (X)$ of an algebraic curve $X$ of genus $g (X) \geq 2$ defined over a…

cs.IT2026

On QC and GQC algebraic geometry codes

Matteo Bonini, Arianna Dionigi, Francesco Ghiandoni

We present new constructions of quasi-cyclic (QC) and generalized quasi-cyclic (GQC) codes from algebraic curves. Unlike previous approaches based on elliptic curves, our method ap…

math.AG2024

Algebraic curves with a large cyclic automorphism group

Arianna Dionigi, Massimo Giulietti, Marco Timpanella

The study of algebraic curves $\cX$ with numerous automorphisms in relation to their genus $g(\cX)$ is a well-established area in Algebraic Geometry. In 1995, Irokawa and Sasaki \c…

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…

Curves with a large automorphism group admitting a cyclic subgroup of index 2

On QC and GQC algebraic geometry codes

Algebraic curves with a large cyclic automorphism group

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

Curves with a large automorphism group admitting a cyclic subgroup of index $2$

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