P. Speziali

activity

20162022

collaborators

6 papers

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

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.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…