P. Speziali

activity

20162025

most citedHemisystems of the Hermitian Surface

16 citations · 21 across the 10 of their papers we have counts for

collaborators

14 papers

math.AG2025

Curves on Frobenius nonclassical loci of hypersurfaces

Nazar Arakelian, Pietro Speziali

Let $S \subset P^{n}$ be an absolutely irreducible projective hypersurface defined over a finite field $F_{q}$ , equipped with the $F_{q}$ -Frobenius m…

math.AG2025

On lattices over Fermat function fields

Rafael Froner Prando, Pietro Speziali

Function field lattices are an interesting example of algebraically constructed lattices. Their minimum distance is bounded below by a function of the gonality of the underlying fu…

math.AG2022

Optimal plane curves of degree $q - 1$ over a finite field

Walteir de Paula Ferreira, Pietro Speziali

Let $q \geq 5$ be a prime power. In this note, we prove that if a plane curve $X$ of degree $q - 1$ defined over $F_{q}$ without $F_{q}$ -linear components at…

math.AG2022★ 1 cited

Infinitely many Riemann surfaces with transitive action on Weierstrass points

Sebastián Reyes-Carocca, Pietro Speziali

In this short note, we prove the existence of infinitely many pairwise non-isomorphic non-hyperelliptic Riemann surfaces with automorphism group acting transitively on the Weierstr…

math.AG2022

Plane curves with a large linear automorphism group in characteristic $p$

H. Borges, G. Korchmáros, P. Speziali

Let $G$ be a subgroup of the three dimensional projective group $PGL (3, q)$ defined over a finite field $F_{q}$ of order $q$ , viewed as a subgroup of $\mathrm{PGL}(3…

math.AG2020

Algebraic curves with automorphism groups of large prime order

Nazar Arakelian, Pietro Speziali

Let $X$ be an algebraic curve of genus $g$ defined over an algebraically closed field $K$ of characteristic $p \geq 0$ , and $q$ a prime dividing $|\mbox{Aut}(\mathcal{X})…

math.AG2019

Large automorphism groups of ordinary curves of even genus in odd characteristic

Maria Montanucci, Pietro Speziali

Let $X$ be a (projective, non-singular, geometrically irreducible) curve of even genus $g (X) \geq 2$ defined over an algebraically closed field $K$ of odd chara…

math.AG2018

The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

Nazar Arakelian, Herivelto Borges, Pietro Speziali

For any smooth Hurwitz curve $H_{n} : X Y^{n} + Y Z^{n} + X^{n} Z = 0$ over the finite field $F_{p}$ , an explict description of its Weierstrass points for the morphism of lines…

math.AG2018★ 3 cited

Plane curves possessing two outer Galois points

Satoru Fukasawa, Pietro Speziali

We classify plane curves $C$ possessing two Galois points $P_{1}$ and $P_{2} \in P^{2} ∖ C$ such that the associated Galois groups $G_{P_{1}}$ and $G_{…

math.CO2017★ 16 cited

Hemisystems of the Hermitian Surface

Gábor Korchmáros, Gábor P. Nagy, Pietro Speziali

We present a new method for the study of hemisystems of the Hermitian surface $U_{3}$ of $P G (3, q^{2})$ . The basic idea is to represent generator-sets of $U_{3}$ by me…

math.AG2017

Large automorphism groups of ordinary curves in characteristic $2$

Maria Montanucci, Pietro Speziali

Let $X$ be a (projective, non-singular, irreducible) curve of even genus $g (X) \geq 2$ defined over an algebraically closed field $K$ of characteristic $p$ . If…

math.AG2017★ 1 cited

Transcendency Degree One Function Fields Over a Finite Field with Many Automorphisms

Gábor Korchmáros, Maria Montanucci, Pietro Speziali

Let $K$ be the algebraic closure of a finite field $F_{q}$ of odd characteristic $p$ . For a positive integer $m$ prime to $p$ , let $F = K (x, y)$ be the transc…

math.AG2016

On generalizations of Fermat curves over finite fields and their automorphisms

Nazar Arakelian, Pietro Speziali

Let $X$ be an irreducible algebraic curve defined over a finite field $F_{q}$ of characteristic $p > 2$ . Assume that the $F_{q}$ -automorphism group of $\mathc…

math.NT2016

The $a$ -numbers of Fermat and Hurwitz curves

Maria Montanucci, Pietro Speziali

For an algebraic curve $X$ defined over an algebraically closed field of characteristic $p > 0$ , the $a$ -number $a (X)$ is the dimension of the space of exact hol…

Curves on Frobenius nonclassical loci of hypersurfaces

On lattices over Fermat function fields

Optimal plane curves of degree q−1 over a finite field

Infinitely many Riemann surfaces with transitive action on Weierstrass points

Plane curves with a large linear automorphism group in characteristic p

Algebraic curves with automorphism groups of large prime order

Large automorphism groups of ordinary curves of even genus in odd characteristic

The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

Plane curves possessing two outer Galois points

Hemisystems of the Hermitian Surface

Large automorphism groups of ordinary curves in characteristic 2

Transcendency Degree One Function Fields Over a Finite Field with Many Automorphisms

On generalizations of Fermat curves over finite fields and their automorphisms

The a-numbers of Fermat and Hurwitz curves

Optimal plane curves of degree $q - 1$ over a finite field

Plane curves with a large linear automorphism group in characteristic $p$

Large automorphism groups of ordinary curves in characteristic $2$

The $a$ -numbers of Fermat and Hurwitz curves