M. Montanucci

activity

20162026

most citedTowards the full classification of exceptional scattered polynomials

9 citations · 11 across the 15 of their papers we have counts for

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2024

Some families of non-isomorphic maximal function fields

Peter Beelen, Maria Montanucci, Jonathan Tilling Niemann +1

The problem of understanding whether two given function fields are isomorphic is well-known to be difficult, particularly when the aim is to prove that an isomorphism does not exis…

math.NT2022

On the constant $D (q)$ defined by Homma

Peter Beelen, Maria Montanucci, Lara Vicino

Let $X$ be a projective, irreducible, nonsingular algebraic curve over the finite field $F_{q}$ with $q$ elements and let $∣ X (F_{q}) ∣$ and $g(\mat…

math.NT2021

Classification of all Galois subcovers of the Skabelund maximal curves

Peter Beelen, Leonardo Landi, Maria Montanucci

In 2017 Skabelund constructed two new examples of maximal curves $S ~_{q}$ and $R ~_{q}$ as covers of the Suzuki and Ree curves, respectively. The resul…

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…

Some families of non-isomorphic maximal function fields

On the constant D(q) defined by Homma

Classification of all Galois subcovers of the Skabelund maximal curves

The a-numbers of Fermat and Hurwitz curves

On the constant $D (q)$ defined by Homma

The $a$ -numbers of Fermat and Hurwitz curves