Marco Timpanella

activity

20182026

collaborators

10 papers

math.AG2026

Large cyclic automorphism groups and cyclic subgroups of index two in characteristic two

Marco Timpanella

Let $X$ be a projective, geometrically irreducible, nonsingular algebraic curve of genus $g \geq 2$ over an algebraically closed field of characteristic two. We classify cyc…

math.AG2026

Explicit invariants of the Suzuki and Ree groups in their function fields

Marco Timpanella

The Suzuki and Ree curves are two classical Deligne--Lusztig curves. They are maximal over suitable finite fields and their full automorphism groups are the Suzuki and Ree groups.…

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…

math.AG2026

Large automorphism groups compared to the $p$ -rank of algebraic curves in characteristic $p$

Massimo Giulietti, Gábor Korchmáros, Marco Timpanella

Let $\cX$ be a (projective, geometrically irreducible, non-singular) algebraic curve of genus $\geq 2$ and positive $p$ -rank $γ(\cX)$, defined over an algebraically closed field $\m…

math.AG2025

AG codes from the Hermitian curve for Cross-Subspace Alignment in Private Information Retrieval

Francesco Ghiandoni, Massimo Giulietti, Enrico Mezzano +1

Private information retrieval (PIR) addresses the problem of retrieving a desired message from distributed databases without revealing which message is being requested. Recent work…

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.AG2021

A generalization of Bring's curve in any characteristic

Gábor Korchmáros, Stefano Lia, Marco Timpanella

Let $p \geq 7$ be a prime, and $m \geq 5$ an integer. A natural generalization of Bring's curve valid over any field $K$ of zero characteristic or positive characteristic $p$ ,…

cs.IT2021

PIR codes from combinatorial structures

Massimo Giulietti, Arianna Sabatini, Marco Timpanella

A $k$ -server Private Information Retrieval (PIR) code is a binary linear $[m, s]$ -code admitting a generator matrix such that for every integer $i$ with $1 \leq i \leq s$ there exist $k…

math.AG2019

Curves with more than one inner Galois point

Gábor Korchmáros, Stefano Lia, Marco Timpanella

Let $C$ be an irreducible plane curve of $PG (2, K)$ where $K$ is an algebraically closed field of characteristic $p \geq 0$ . A point $Q\in \mathcal…

math.AG2018

On the Dickson-Guralnick-Zieve curve

Massimo Giulietti, Gábor Korchmáros, Marco Timpanella

The Dickson-Guralnick-Zieve curve, briefly DGZ curve, defined over the finite field $F_{q}$ arises naturally from the classical Dickson invariant of the projective linear gr…

Large cyclic automorphism groups and cyclic subgroups of index two in characteristic two

Explicit invariants of the Suzuki and Ree groups in their function fields

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

Large automorphism groups compared to the p-rank of algebraic curves in characteristic p

AG codes from the Hermitian curve for Cross-Subspace Alignment in Private Information Retrieval

Algebraic curves with a large cyclic automorphism group

A generalization of Bring's curve in any characteristic

PIR codes from combinatorial structures

Curves with more than one inner Galois point

On the Dickson-Guralnick-Zieve curve

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

Large automorphism groups compared to the $p$ -rank of algebraic curves in characteristic $p$